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Equilibrium of Forces

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

A uniform bar 15 m in length, weighing 500 N is supported at its smooth spots against some smooth vertical walls as shown below. If the tension in the vertical cable is 'T', calculate the reactions at A and B.

a)

HA = 500 N; HB = 111.11 N

b)

HA = 88.8 N; HB = 131.11 N

c)

HA = HB = 500 N

d)

HA = HB = 111.11 N

2.

In case of the free body diagram of a body, the false statement(s) is,

a)

FBD is useful in analysing the equilibrium of a constrained body.

b)

FBD is helpful in finding reactions at the supports.

c)

Only active forces are shown in FBD.

d)

None of the these.

3.

A rigid prismatic weightless bar AB is supported in a vertical plane by a hinge at the end A and by a horizontal string attached to the Bar at D as shown in fig.

The tension in the string is,

a)

w tanθ

b)

2 w tan

c)

4 w tanθ

d)

None of these

4.

A rigid prismatic weightless bar AB is supported in a vertical plane by a hinge at the end A and by a horizontal string attached to the Bar at D as shown in fig.

The tension in the string is, the inclination of the reaction from horizontal is given by,

a)

b)

c)

d)

5.

An uniform wheel of 60 cm diameter, weighing 1000 N, rests against a regular obstacle 15 cm height. The least value for θ to overcome the obstacle is,

a)

45°

b)

90°

c)

60°

d)

30°

6.

A cylinder of weight 'w' and radius 'r' is to be supported in a horizontal position against a vertical wall by a bar AB of  negligible weight and length 'l' .The bar is hinged to the wall at A and supported at B by a horizontal rope BC. The angle θ af the bar with the vertical, so that the tension in rope is minimum, should be,

a)

30°

b)

45°

c)

90°

d)

60°

7.

A cylinder of weight 'w' and radius 'r' is to be supported in a horizontal position against a vertical wall by a bar AB of  negligible weight and length 'l' .The bar is hinged to the wall at A and supported at B by a horizontal rope BC. The angle θ af the bar with the vertical,

a)

b)

c)

d)

8.

An automobile of weight 'w' is shown in figure A pull 'P' is applied as shown. The reaction of front wheel (location A) is,

a)

b)

c)

d)

9.

A man weighing 75 N stands on the middle of a 25 N ladder lying on a smooth flow against a wall. The ladder is prevented from slipping by a spring OD. The tension in the spring will be,

a)

40.56

b)

56.40

c)

4.056

d)

405.6

10.

A man weighing 75 N stands on the middle of a 25 N ladder lying on a smooth flow against a wall. The ladder is prevented from slipping by a spring OD. The reactions at A & B in are respectively,

a)

120.26 & 35.13 N

b)

121.26 & 34.13 N

c)

129.26 & 19.13 N

d)

110.26 & 40.23 N

11.

An electric light fixture weighing 150N hangs from a point A by hinges AB and AC. The tension is string AB would be approximately

a)

77 N

b)

86 N

c)

99 N

d)

98 N

12.

A string 2 m long is tied to the ends of a uniform rod that weight 60 N and is 1.6 m long. The string passes over a nail so that the rod hangs vertically. The tension in the string will be.

a)

24 N

b)

30 N

c)

42 N

d)

50 N

13.

A circular roller of weight W hangs by a tie rod and rests against a smooth vertical wall. The tension in the rod AB will be

a)

less than weight W

b)

greater then W

c)

equal to W

d)

none of these

14.

A mass of 1 kg. Is attached to the middle of a rope, which is being pulled from both ends in the opposite directions. Taking g = 10 m/s2, the minimum pull required to completely straighten the rope will be

a)

5 N

b)

20 N

c)

25 N

d)

much larger than 25 N

15.

Three weights are hung from a level surface and a force parallel with the surface is applied as shown in the figure below. What is the magnitude of the resultant force? (Civil Services)

a)

3

b)

c)

6

d)

16.

A body of mass 10 kg. Moving with a velocity of 1 m/s is acted upon by a force of 50 N for two seconds. The final velocity is

a)

22 m/s

b)

1 m/s

c)

d)

11 m/s

17.

Two blocks with masses M and are in contact with each other and are resting an a horizontal frictionless floor. When horizontal force is applied to the heavier, the blocks accelerate to the right. The force between the two blocks is (Gate -86)

a)

(M + m) F/m

b)

MF/m

c)

mF/M

d)

mF(M + m)

18.

A 6.0 kg box sledge is travelling across the ice at a speed of 9.0 m/s when a 12 kg package is dropped into it vertically. As a result it

a)

stops moving

b)

continues to move at the same speed

c)

continues to move at half the initial speed

d)

continues to move at one-third the initial speed.

19.

The displacement of a particle undergoing rectilinear motion along the X-axis is given by

                         x = 2t3 - 21 t2+ 60t + 6 meters

The acceleration of the particle, when its velocity is zero, will be

a)

+ 36 m/s2

b)

- 18 m/s2

c)

+ 9 m/s2

d)

- 9 m/s2

20.

The displacement of a particle undergoing rectilinear motion along the X-axis is given by

                         x = 2t3 - 21 t2+ 60t + 6 meters

The acceleration of the particle, when its velocity is zero, will be

a)

+ 36 m/s2

b)

- 18 m/s2

c)

+ 9 m/s2

d)

- 9 m/s2