🗊 Презентация Tranlational equilibrium

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Tranlational equilibrium, слайд №1 Tranlational equilibrium, слайд №2 Tranlational equilibrium, слайд №3 Tranlational equilibrium, слайд №4 Tranlational equilibrium, слайд №5 Tranlational equilibrium, слайд №6 Tranlational equilibrium, слайд №7 Tranlational equilibrium, слайд №8 Tranlational equilibrium, слайд №9 Tranlational equilibrium, слайд №10 Tranlational equilibrium, слайд №11 Tranlational equilibrium, слайд №12 Tranlational equilibrium, слайд №13 Tranlational equilibrium, слайд №14 Tranlational equilibrium, слайд №15 Tranlational equilibrium, слайд №16 Tranlational equilibrium, слайд №17 Tranlational equilibrium, слайд №18 Tranlational equilibrium, слайд №19 Tranlational equilibrium, слайд №20 Tranlational equilibrium, слайд №21 Tranlational equilibrium, слайд №22 Tranlational equilibrium, слайд №23 Tranlational equilibrium, слайд №24 Tranlational equilibrium, слайд №25 Tranlational equilibrium, слайд №26 Tranlational equilibrium, слайд №27 Tranlational equilibrium, слайд №28 Tranlational equilibrium, слайд №29 Tranlational equilibrium, слайд №30 Tranlational equilibrium, слайд №31 Tranlational equilibrium, слайд №32 Tranlational equilibrium, слайд №33 Tranlational equilibrium, слайд №34 Tranlational equilibrium, слайд №35 Tranlational equilibrium, слайд №36 Tranlational equilibrium, слайд №37 Tranlational equilibrium, слайд №38 Tranlational equilibrium, слайд №39 Tranlational equilibrium, слайд №40 Tranlational equilibrium, слайд №41 Tranlational equilibrium, слайд №42 Tranlational equilibrium, слайд №43 Tranlational equilibrium, слайд №44 Tranlational equilibrium, слайд №45 Tranlational equilibrium, слайд №46 Tranlational equilibrium, слайд №47 Tranlational equilibrium, слайд №48 Tranlational equilibrium, слайд №49 Tranlational equilibrium, слайд №50 Tranlational equilibrium, слайд №51 Tranlational equilibrium, слайд №52 Tranlational equilibrium, слайд №53 Tranlational equilibrium, слайд №54 Tranlational equilibrium, слайд №55 Tranlational equilibrium, слайд №56 Tranlational equilibrium, слайд №57 Tranlational equilibrium, слайд №58 Tranlational equilibrium, слайд №59 Tranlational equilibrium, слайд №60 Tranlational equilibrium, слайд №61 Tranlational equilibrium, слайд №62 Tranlational equilibrium, слайд №63
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Слайды и текст этой презентации

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Translational Equilibrium
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Translational Equilibrium

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Objectives Describe with examples Newton’s three laws of motion. Describe with examples the first condition for equilibrium. Draw free-body diagrams...
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Objectives Describe with examples Newton’s three laws of motion. Describe with examples the first condition for equilibrium. Draw free-body diagrams for objects in translational equilibrium. Apply the first condition for equilibrium to the solution of problems.

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Newton’s First Law Newton’s First Law: An object at rest or an object in motion at constant speed will remain at rest or at constant speed in the...
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Newton’s First Law Newton’s First Law: An object at rest or an object in motion at constant speed will remain at rest or at constant speed in the absence of a resultant force.

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Newton’s Second Law: Second Law: Whenever a resultant force acts on an object, it produces an acceleration - an acceleration that is directly...
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Newton’s Second Law: Second Law: Whenever a resultant force acts on an object, it produces an acceleration - an acceleration that is directly proportional to the force and inversely proportional to the mass.

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Newton’s Third Law To every action force there must be an equal and opposite reaction force.
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Newton’s Third Law To every action force there must be an equal and opposite reaction force.

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Newton’s Third Law Examples:
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Newton’s Third Law Examples:

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Translational Equilibrium An object is said to be in Translational Equilibrium if and only if there is no resultant force. This means that the sum of...
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Translational Equilibrium An object is said to be in Translational Equilibrium if and only if there is no resultant force. This means that the sum of all acting forces is zero.

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Visualization of Forces
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Visualization of Forces

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Visualization of Forces
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Visualization of Forces

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Vector Sum of Forces An object is said to be in Translational Equilibrium if and only if there is no resultant force. The vector sum of all forces...
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Vector Sum of Forces An object is said to be in Translational Equilibrium if and only if there is no resultant force. The vector sum of all forces acting on the ring is zero in this case.

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Vector Force Diagram
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Vector Force Diagram

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Look Again at Previous Arrangement
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Look Again at Previous Arrangement

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Translational Equilibrium The First Condition for Equilibrium is that there be no resultant force. This means that the sum of all acting forces is...
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Translational Equilibrium The First Condition for Equilibrium is that there be no resultant force. This means that the sum of all acting forces is zero.

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Example 2. Find the tensions in ropes A and B for the arrangement shown.
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Example 2. Find the tensions in ropes A and B for the arrangement shown.

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Example 2. Continued . . .
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Example 2. Continued . . .

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Example 2. Continued . . .
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Example 2. Continued . . .

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Example 2. Continued . . .
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Example 2. Continued . . .

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Problem Solving Strategy
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Problem Solving Strategy

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Example 3. Find Tension in Ropes A and B.
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Example 3. Find Tension in Ropes A and B.

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Example 3. Find the tension in ropes A and B.
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Example 3. Find the tension in ropes A and B.

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Example 3. Find the tension in ropes A and B.
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Example 3. Find the tension in ropes A and B.

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Example 3 (Cont.) Find the tension in A and B.
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Example 3 (Cont.) Find the tension in A and B.

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Example 3 (Cont.) Find Tensions in A and B.
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Example 3 (Cont.) Find Tensions in A and B.

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Example 3 (Cont.) Find B with A = 200 N.
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Example 3 (Cont.) Find B with A = 200 N.

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Example 4. Rotate axes for same example.
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Example 4. Rotate axes for same example.

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Since A and B are perpendicular, we can find the new angle  from geometry.
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Since A and B are perpendicular, we can find the new angle  from geometry.

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Tranlational equilibrium, слайд №27
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Example 4 (Cont.) We Now Solve for A and B:
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Example 4 (Cont.) We Now Solve for A and B:

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Tranlational equilibrium, слайд №29
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Tranlational equilibrium, слайд №30
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Tranlational equilibrium, слайд №31
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Tranlational equilibrium, слайд №32
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Summary Newton’s First Law: An object at rest or an object in motion at constant speed will remain at rest or at constant speed in the absence of a...
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Summary Newton’s First Law: An object at rest or an object in motion at constant speed will remain at rest or at constant speed in the absence of a resultant force.

Слайд 34


Summary Second Law: Whenever a resultant force acts on an object, it produces an acceleration, an acceleration that is directly proportional to the...
Описание слайда:
Summary Second Law: Whenever a resultant force acts on an object, it produces an acceleration, an acceleration that is directly proportional to the force and inversely proportional to the mass.

Слайд 35


Summary Third Law: To every action force there must be an equal and opposite reaction force.
Описание слайда:
Summary Third Law: To every action force there must be an equal and opposite reaction force.

Слайд 36


Problem Solving Strategy
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Problem Solving Strategy

Слайд 37


Friction and Equilibrium
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Friction and Equilibrium

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Objectives Define and calculate the coefficients of kinetic and static friction, and give the relationship of friction to the normal force. Apply the...
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Objectives Define and calculate the coefficients of kinetic and static friction, and give the relationship of friction to the normal force. Apply the concepts of static and kinetic friction to problems involving constant motion or impending motion.

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Friction Forces
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Friction Forces

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Friction and the Normal Force
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Friction and the Normal Force

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Friction forces are independent of area.
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Friction forces are independent of area.

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Friction forces are independent of speed.
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Friction forces are independent of speed.

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The Static Friction Force
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The Static Friction Force

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Constant or Impending Motion
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Constant or Impending Motion

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Friction and Acceleration
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Friction and Acceleration

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EXAMPLE 1: If k = 0.3 and s = 0.5, what horizontal pull P is required to just start a 250-N block moving?
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EXAMPLE 1: If k = 0.3 and s = 0.5, what horizontal pull P is required to just start a 250-N block moving?

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EXAMPLE 1(Cont.): s = 0.5, W = 250 N. Find P to overcome fs (max). Static friction applies.
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EXAMPLE 1(Cont.): s = 0.5, W = 250 N. Find P to overcome fs (max). Static friction applies.

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EXAMPLE 1(Cont.): s = 0.5, W = 250 N. Find P to overcome fs (max). Now we know n = 250 N.
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EXAMPLE 1(Cont.): s = 0.5, W = 250 N. Find P to overcome fs (max). Now we know n = 250 N.

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EXAMPLE 1(Cont.): If k = 0.3 and s = 0.5, what horizontal pull P is required to move with constant speed? (Overcoming kinetic friction)
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EXAMPLE 1(Cont.): If k = 0.3 and s = 0.5, what horizontal pull P is required to move with constant speed? (Overcoming kinetic friction)

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The Normal Force and Weight
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The Normal Force and Weight

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For Friction in Equilibrium: Draw free-body diagram for each body. Choose x or y-axis along motion or impending motion and choose direction of motion...
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For Friction in Equilibrium: Draw free-body diagram for each body. Choose x or y-axis along motion or impending motion and choose direction of motion as positive. Identify the normal force and write one of following: fs = sn or fk = kn For equilibrium, we write for each axis: Fx = 0 Fy = 0 Solve for unknown quantities.

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Example 2. A force of 60 N drags a 300-N block by a rope at an angle of 400 above the horizontal surface. If uk = 0.2, what force P will produce...
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Example 2. A force of 60 N drags a 300-N block by a rope at an angle of 400 above the horizontal surface. If uk = 0.2, what force P will produce constant speed?

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Example 2 (Cont.). P = ?; W = 300 N; uk = 0.2.
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Example 2 (Cont.). P = ?; W = 300 N; uk = 0.2.

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Example 2 (Cont.). P = ?; W = 300 N; uk = 0.2.
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Example 2 (Cont.). P = ?; W = 300 N; uk = 0.2.

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Example 2 (Cont.). P = ?; W = 300 N; uk = 0.2.
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Example 2 (Cont.). P = ?; W = 300 N; uk = 0.2.

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Example 2 (Cont.). P = ?; W = 300 N; uk = 0.2.
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Example 2 (Cont.). P = ?; W = 300 N; uk = 0.2.

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Example 3: What push P up the incline is needed to move a 230-N block up the incline at constant speed if k = 0.3?
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Example 3: What push P up the incline is needed to move a 230-N block up the incline at constant speed if k = 0.3?

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Example 3 (Cont.): Find P to give move up the incline (W = 230 N).
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Example 3 (Cont.): Find P to give move up the incline (W = 230 N).

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Summary
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Summary

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Summary: Important Points (Cont.)
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Summary: Important Points (Cont.)

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Summary: Important Points (Cont.)
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Summary: Important Points (Cont.)

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Summary
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Summary

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Summary
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Summary

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