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Force diagrams and equilibrium

Total questions: 18

Worksheet time: 55mins

Name
Class
Date
1.

In the diagrams below, R stands for Reaction, W stands for Weight, T stands for Tension, P is an additional force and F stands for Friction.


Which of the force diagrams could represent a ball in free fall, if there is no air resistance?

a)

A

b)

B

c)

C

d)

D

e)

E

2.

In the diagrams below, R stands for Reaction, W stands for Weight, T stands for Tension, P is an additional force and F stands for Friction.


Which two force diagrams could represent a suitcase standing at rest on a smooth floor?

a)

A

b)

C

c)

D

d)

E

e)

F

3.

In the diagrams below, R stands for Reaction, W stands for Weight, T stands for Tension, P is an additional force and F stands for Friction.


Which force diagram could represent a suitcase being pushed across a rough floor?

a)

A

b)

C

c)

D

d)

E

e)

F

4.

In the diagrams below, R stands for Reaction, W stands for Weight, T stands for Tension, P is an additional force and F stands for Friction.


Which force diagram could represent a glider flying at constant velocity, assuming negligible air resistance?

a)

A

b)

B

c)

D

d)

E

e)

F

5.

In the diagrams below, R stands for Reaction, W stands for Weight, T stands for Tension, P is an additional force and F stands for Friction.


Which force diagram could represent a rocket, just after the engines have ignited, but before it begins to leave the ground?

a)

A

b)

C

c)

D

d)

E

e)

F

6.

In the diagrams below, R stands for Reaction, W stands for Weight, T stands for Tension, P is an additional force and F stands for Friction.


Which force diagram could represent a spider hanging by a thread?

a)

A

b)

C

c)

D

d)

E

e)

F

7.

In the diagrams below, R stands for Reaction, W stands for Weight, T stands for Tension, P is an additional force and F stands for Friction.


Which force diagram could represent a puck sliding across perfectly smooth ice, assuming no air resistance?

a)

A

b)

C

c)

D

d)

E

e)

F

8.

In the diagram below, the pulleys are assumed frictionless. The acceleration due to gravity is g.


If the system is in equilibrium, what is the size of the tension T2? [I'll assume your answer is in Newtons, don't add this unit to your answer]

(a)  

9.

In the diagram below, the pulleys are assumed frictionless. The acceleration due to gravity is g.


If the system is in equilibrium, there must also be a friction force acting between the 10 kg block and the table. What is the magnitude of this friction force?

[I'll assume your answer is in Newtons, don't add this unit to your answer]

(a)  

10.

In the diagram below, the pulleys are assumed frictionless. The acceleration due to gravity is g.


If the maximum frictional force is F and it is not sufficient for the system to remain in equilibrium, what is the resultant force on the 10 kg mass?

a)

T2 + T1

b)

T2 -T1 + F

c)

T1 - T2

d)

T2 - T1 - F

11.

A particle P of weight 20 N is suspended by two strings AP and BP. The tension in string AP is (a, 8) and the tension in string BP is (6, b) [imagine these are column vectors].



 Find the value of a.



(a)  

12.

A particle P of weight 20 N is suspended by two strings AP and BP. The tension in string AP is (a, 8) and the tension in string BP is (6, b) [imagine these are column vectors].



 Find the value of b.



(a)  

13.

A particle P of weight 20 N is suspended by two strings AP and BP. The tension in string AP is (a, 8) and the tension in string BP is (6, b) [imagine these are column vectors].



Find the magnitude of the tension in string AP. 



(a)  

14.

A particle P of weight 20 N is suspended by two strings AP and BP. The tension in string AP is (a, 8) and the tension in string BP is (6, b) [imagine these are column vectors].



Find the angle that the string BP makes with the vertical. [answer in degrees, but leave off the unit]



(a)  

15.

Two blocks are connected via a pulley. The blocks are initially at rest as block m1 is attached to a wall. If string B breaks, what will the accelerations of the blocks be? (Assume the strings don’t stretch) (a1 means acceleration of block m1)

a)

a1=0 and a2 = 0

b)

a1=g and a2 = g

c)

a1=0 and a2 = g

d)

a1=g and a2 = 0

e)

a1= + g and a2 = - g

16.

Two blocks are connected via a pulley. The blocks are initially at rest as block m1 is attached to a wall. If string A breaks, what will be the relationship between the accelerations of the blocks? (Assume friction is negligible and the strings don’t stretch) (a1 means acceleration of block m1)

a)

 a1=a2a_1=a_2  

b)

 a1 >a2a_1\ >a_2  

c)

 a1 < a2a_1\ <\ a_2  

d)

It depends on the friction 

17.

Two blocks are connected via a pulley. The blocks are initially at rest as block m1 is attached to a wall. If string A breaks, what will the accelerations of the blocks be? (Assume friction is negligible and the strings don’t stretch) (a1 means acceleration of block m1)

a)

a1=a2=gm1+m2a_1=a_2=\frac{g}{m_1+m_2}

b)

a1=g and a2 = g

c)

a1=0 and a2 = g

d)

a1=g and a2 = 0

e)

a1=a2=m1gm1+m2a_1=a_2=\frac{m_1g}{m_1+m_2}

18.

Two blocks are connected via a pulley. The blocks are initially at rest. If the blocks are let go, what will be the magnitude of their acceleration? (Assume: the strings don’t stretch and m1 > m2) [by the way you can select more than one!]

a)

 m2gm1+m2\frac{m_2g}{m_1+m_2}  

b)

 m1gm1+m2\frac{m_1g}{m_1+m_2}  

c)

 (m2−m1)gm1+m2\frac{\left(m_2-m_1\right)g}{m_1+m_2}  

d)

 (m1−m2)gm1+m2\frac{\left(m_1-m_2\right)g}{m_1+m_2}  

e)

 m2g(m1+m2)\frac{m_2}{g\left(m_1+m_2\right)}  

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