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Free Body Diagrams For any complicated situation, 1) Isolate each object; 2) Draw all forces acting on it; 3) Use for each object. a m F Net

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Page 1: Free Body Diagrams For any complicated situation, 1)Isolate each object; 2)Draw all forces acting on it; 3)Use for each object

Free Body Diagrams

For any complicated situation,1) Isolate each object;2) Draw all forces acting on it;3) Use for each object.amFNet

Page 2: Free Body Diagrams For any complicated situation, 1)Isolate each object; 2)Draw all forces acting on it; 3)Use for each object

Free Body Diagrams

3) Use for each object.amFNet

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Page 3: Free Body Diagrams For any complicated situation, 1)Isolate each object; 2)Draw all forces acting on it; 3)Use for each object

Friction forces:

Drag:

2

2vA

CFD

Contact friction:

NFF

(Note that it doesn’t depend on the area.)

Page 4: Free Body Diagrams For any complicated situation, 1)Isolate each object; 2)Draw all forces acting on it; 3)Use for each object

Three massless pulleys of identical radius R=0.05 m are connected with inextensible cords, as shown in the figure. Pulleys 1 and 3 are attached to a vertical wall and pulley 2 is hanging from a cord that is held by pulleys 1 and 3 and weights of masses m1=m3=5 kg. Weight 2 of mass m2=15 kg is hanging from pulley 2.

Consider the following equations that involve the given masses, the tensions shown in the figure, and the acceleration of weight 1, a.(1) ;

(2) ;Which one is correct?A. Both (1) and (2) are correct;B. Only (1) is correct, (2) is incorrect;C. Only (2) is correct, (1) is incorrect;D. Both (1) and (2) are incorrect.

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Page 5: Free Body Diagrams For any complicated situation, 1)Isolate each object; 2)Draw all forces acting on it; 3)Use for each object

Three massless pulleys of identical radius R=0.05 m are connected with inextensible cords, as shown in the figure. Pulleys 1 and 3 are attached to a vertical wall and pulley 2 is hanging from a cord that is held by pulleys 1 and 3 and weights of masses m1=m3=5 kg. Weight 2 of mass m2=15 kg is hanging from pulley 2.

Consider the following equations that involve the given masses, the tensions shown in the figure, and the acceleration of weight 1, a.(1) ;

(2) ;Which one is correct?A. Both (1) and (2) are correct;B. Only (1) is correct, (2) is incorrect;C. Only (2) is correct, (1) is incorrect;D. Both (1) and (2) are incorrect.

ammmgmT )( 32111

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Page 6: Free Body Diagrams For any complicated situation, 1)Isolate each object; 2)Draw all forces acting on it; 3)Use for each object

Three massless pulleys of identical radius R=0.05 m are connected with inextensible cords, as shown in the figure. Pulleys 1 and 3 are attached to a vertical wall and pulley 2 is hanging from a cord that is held by pulleys 1 and 3 and weights of masses m1=m3=5 kg. Weight 2 of mass m2=15 kg is hanging from pulley 2.

The magnitude of the net force on the wall is:A. Smaller than ;

B. Equal to ;

C. Larger than ;

D. Not enough information to answer this question.

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Page 7: Free Body Diagrams For any complicated situation, 1)Isolate each object; 2)Draw all forces acting on it; 3)Use for each object

Three massless pulleys of identical radius R=0.05 m are connected with inextensible cords, as shown in the figure. Pulleys 1 and 3 are attached to a vertical wall and pulley 2 is hanging from a cord that is held by pulleys 1 and 3 and weights of masses m1=m3=5 kg. Weight 2 of mass m2=15 kg is hanging from pulley 2.

The magnitude of the net force on the wall is:A. Smaller than ;

B. Equal to ;

C. Larger than ;

D. Not enough information to answer this question.

gmmm )( 321

gmmm )( 321

gmmm )( 321

Page 8: Free Body Diagrams For any complicated situation, 1)Isolate each object; 2)Draw all forces acting on it; 3)Use for each object

Three massless pulleys of identical radius R=0.05 m are connected with inextensible cords, as shown in the figure. Pulleys 1 and 3 are attached to a vertical wall and pulley 2 is hanging from a cord that is held by pulleys 1 and 3 and weights of masses m1=m3=5 kg. Weight 2 of mass m2=15 kg is hanging from pulley 2.

The net torque on pulley 2 is in the following direction:A. Into the page;B. Out of the page;C. It is zero;D. Not enough information to answer this question.

Page 9: Free Body Diagrams For any complicated situation, 1)Isolate each object; 2)Draw all forces acting on it; 3)Use for each object

Three massless pulleys of identical radius R=0.05 m are connected with inextensible cords, as shown in the figure. Pulleys 1 and 3 are attached to a vertical wall and pulley 2 is hanging from a cord that is held by pulleys 1 and 3 and weights of masses m1=m3=5 kg. Weight 2 of mass m2=15 kg is hanging from pulley 2.

The net torque on pulley 2 is in the following direction:A. Into the page;B. Out of the page;C. It is zero;D. Not enough information to answer this question.

Page 10: Free Body Diagrams For any complicated situation, 1)Isolate each object; 2)Draw all forces acting on it; 3)Use for each object

A box B sits in the back of a truck T as the truck slows down for a stop (the box remains motionless relative to the truck). What is the appropriate symbol for the horizontal force that the contact interaction between the box and the truck exerts on the truck?

A. FNB(T)

B. FNT(B)

C. FSFB(T)

D. FSFT(B)

E. FKFB(T)

Page 11: Free Body Diagrams For any complicated situation, 1)Isolate each object; 2)Draw all forces acting on it; 3)Use for each object

A box B sits in the back of a truck T as the truck slows down for a stop (the box remains motionless relative to the truck). What is the appropriate symbol for the horizontal force that the contact interaction between the box and the truck exerts on the truck?

A. FNB(T)

B. FNT(B)

C. FSFB(T)

D. FSFT(B)

E. FKFB(T)

Page 12: Free Body Diagrams For any complicated situation, 1)Isolate each object; 2)Draw all forces acting on it; 3)Use for each object

N7T.4A child C pulls on a wagon W, using a string S; the

wagon moves forward at a constant speed as a result. The third-law partner to the forward force exerted on the wagon is which of the following forces? (R=road)

A. FST

(W)

B. FWT

(S)

C. FWT

(C)

D. FCT

(W)

E. FWKF

(R) F. None of the above.

Page 13: Free Body Diagrams For any complicated situation, 1)Isolate each object; 2)Draw all forces acting on it; 3)Use for each object

N7T.4A child C pulls on a wagon W, using a string S; the

wagon moves forward at a constant speed as a result. The third-law partner to the forward force exerted on the wagon is which of the following forces? (R=road)

A. FST

(W)

B. FWT

(S)

C. FWT

(C)

D. FCT

(W)

E. FWKF

(R) F. None of the above.

Page 14: Free Body Diagrams For any complicated situation, 1)Isolate each object; 2)Draw all forces acting on it; 3)Use for each object

N7T.5A small car pushes on a disabled truck,

accelerating it slowly forward. Each exerts a force on the other as a result of their contact interaction. Which vehicle exerts the greater force on the other?

A. The car.B. The truck.C. Both forces have the same magnitude.D. The truck doesn’t exert any force on the car.E. There is not enough information for a

meaningful answer.

Page 15: Free Body Diagrams For any complicated situation, 1)Isolate each object; 2)Draw all forces acting on it; 3)Use for each object

N7T.5A small car pushes on a disabled truck,

accelerating it slowly forward. Each exerts a force on the other as a result of their contact interaction. Which vehicle exerts the greater force on the other?

A. The car.B. The truck.C. Both forces have the same magnitude.D. The truck doesn’t exert any force on the car.E. There is not enough information for a

meaningful answer.

Page 16: Free Body Diagrams For any complicated situation, 1)Isolate each object; 2)Draw all forces acting on it; 3)Use for each object

N7T.6A physicist and a chemist are playing tug-of-war.

For a certain length of time during the game, the participants are essentially at rest. During this time, each person pulls on the rope (which can be treated as an ideal string) with a force of 350N. What is the tension on the rope?

A. 700NB. 350NC. 175ND. None of the above

Page 17: Free Body Diagrams For any complicated situation, 1)Isolate each object; 2)Draw all forces acting on it; 3)Use for each object

N7T.6A physicist and a chemist are playing tug-of-war.

For a certain length of time during the game, the participants are essentially at rest. During this time, each person pulls on the rope (which can be treated as an ideal string) with a force of 350N. What is the tension on the rope?

A. 700NB. 350NC. 175ND. None of the above

Page 18: Free Body Diagrams For any complicated situation, 1)Isolate each object; 2)Draw all forces acting on it; 3)Use for each object

N7T.7

Object A (mA=1.0kg) hangs at rest from an ideal string A connected to the ceiling. Object B (mB=2.0kg) hangs at rest from an ideal string B connected to object A. The tension on string A is:

A. Twice the tension on string B

B. 3/2 times the tension on string B.

C. Equal to the tension on string B

D. 2/3 the tension of string B

E. None of the above

Page 19: Free Body Diagrams For any complicated situation, 1)Isolate each object; 2)Draw all forces acting on it; 3)Use for each object

N7T.7

Object A (mA=1.0kg) hangs at rest from an ideal string A connected to the ceiling. Object B (mB=2.0kg) hangs at rest from an ideal string B connected to object A. The tension on string A is:

A. Twice the tension on string B

B. 3/2 times the tension on string B.

C. Equal to the tension on string B

D. 2/3 the tension of string B

E. None of the above

Page 20: Free Body Diagrams For any complicated situation, 1)Isolate each object; 2)Draw all forces acting on it; 3)Use for each object

N7T.8Two people are attempting to break a rope,

which will break if the tension on the rope exceeds 360N. If each person can exert a pull of 200N,

A. They can break the rope if they each take an end and pull.

B. They can break the rope if they tie one end to the wall and both pull on the other.

C. They can break the rope if they use either of the strategies above.

D. They cannot break the rope.

Page 21: Free Body Diagrams For any complicated situation, 1)Isolate each object; 2)Draw all forces acting on it; 3)Use for each object

N7T.8Two people are attempting to break a rope,

which will break if the tension on the rope exceeds 360N. If each person can exert a pull of 200N,

A. They can break the rope if they each take an end and pull.

B. They can break the rope if they tie one end to the wall and both pull on the other.

C. They can break the rope if they use either of the strategies above.

D. They cannot break the rope.

Page 22: Free Body Diagrams For any complicated situation, 1)Isolate each object; 2)Draw all forces acting on it; 3)Use for each object

A spring scale typically indicates the magnitude of the tension force exerted on its bottom hook. What will the scale read in each of the cases shown in the diagram? (Hint: Construct a free-body or a free-particle diagram for the scale in each case.)

A. 49N

B. 98N

C. 186N

D. None of the above

Page 23: Free Body Diagrams For any complicated situation, 1)Isolate each object; 2)Draw all forces acting on it; 3)Use for each object

A spring scale typically indicates the magnitude of the tension force exerted on its bottom hook. What will the scale read in each of the cases shown in the diagram? (Hint: Construct a free-body or a free-particle diagram for the scale in each case.)

A. 49N

B. 98N

C. 186N

D. None of the above