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Examination: Statics of Rigid Bodies

Total questions: 44

Worksheet time: 1hrs 9mins

Name
Class
Date
1.

When a particle is in equilibrium, the sum of forces acting on it equals ------- . (Choose the most appropriate answer)

a)

A constant

b)

A positive number

c)

Zero

d)

A negative number

2.

"A point at which entire weight of object concentrated toward the earth".


Identify the concept explained in the statement above.

a)

Free body diagram

b)

Concurrent forces

c)

Centre of gravity

d)

Rigid body

3.

A particle is in equilibrium state when it is at _________ if originally at rest or has a constant __________ if originally in motion.

a)

motion, acceleration

b)

kinetic, veocity

c)

rest, velocity

d)

acceleration, kinetic

4.

Below are the condition of equilibrium for particles except:

a)

Total force x -axis = 0

b)

Total force y - axis = 0

c)

Resultant force = 0

d)

Velocity = 0

5.

Condition for equilibrium are:


  • Resultant force = 0
  • Moving with constant velocity
  • Stationary/ rest
a)

True

b)

False

6.

For a frictionless pulley and cable, tensions in the cable (T1 and T2) are related as

a)

T1 > T2

b)

T1 = T2

c)

T1 < T2

7.

What are the TWO equilibrium cases for forces acting on an object?

a)

When the object is moving at a constant velocity

b)

The object is speeding up

c)

The object is at rest

d)

The object is slowing down

8.
A combination of all the forces acting on the object is...
a)
Inertia
b)
Force
c)
Newton
d)
Net force
9.
Which of Newton's three laws does the formula F=ma describe?
a)
1st law
b)
2nd law
c)
3rd law
d)
Newt who?
10.
Name the missing force...
a)
tension force
b)
gravitational force
c)
normal force
d)
applied force
11.
What makes a rolling ball stop moving?
a)
gravity
b)
friction
c)
a balanced force
12.
Forces that have a net force of zero ( the object is still).
a)
Balanced force
b)
Unbalanced force
13.
The force that pulls things toward earth.
a)
Speed
b)
Gravity
14.
Which one is balanced?
a)
top
b)
bottom
c)
both
15.
If these boys are pulling with the same amount of force.  What will happen?
a)
The boy in blue will win.
b)
They will not move at all.
c)
The boy in red will win.
d)
Both will fall down.
16.

What force is always present when an object is close to the earth's mass?

a)

Applied Force

b)

Normal Force

c)

Frictional Force

d)

Gravitational force

17.
Match description with free-body diagram.
a)
A book is at rest on a tabletop.
b)
A gymnast holding onto a bar, is suspended motionless in mid-air. The bar is supported by two ropes that attach to the ceiling. Diagram the forces acting on the combination of gymnast and bar.
c)
An egg is free-falling from a nest in a tree. Neglect air resistance.
d)
A flying squirrel is gliding (no wing flaps) from a tree to the ground at constant velocity. Consider air resistance.
18.
Name the missing force...
a)
spring force
b)
weight force
c)
normal force
d)
buoyant force
19.
Name the missing force...
a)
frictional force
b)
weight force
c)
thrust
d)
buoyant force
20.
Name the missing force...
a)
normal force
b)
applied force
c)
frictional force
d)
tension force
21.
What is the net force?
a)
5000 N right
b)
4000 N right
c)
40 N left
d)
4000 N left
22.
Calculate the net force acting upon the object.
a)
10 N north
b)
20 N south
c)
10 N south
d)
22.4 N north
23.

What forces are on a hot air balloon hovering in the air but being blown by the wind?

a)

gravitational force, normal force and applied force

b)

gravitational force, buoyant force and the force from the wind

c)

gravitational force, normal force, applied force and frictional force

d)

gravitational force, buoyant force and optimistic force

24.

In physics, this may be described as the pulling force transmitted by the means of a string, cable, chain, or similar one-dimensional continuous object

a)

Tension

b)

Buoyancy

c)

Friction

d)

Normal Force

25.

An object resting on a surface experiences +980 N of Normal force. What is the mass of the object?


W=mg

a)

-98 kg

b)

9.8 kg

c)

100 kg

d)

-100 kg

26.

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

27.

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.

28.

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

29.

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)

30.

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°

31.

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°

32.

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)

33.

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)

34.

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

35.

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

36.

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

37.

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

38.

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

39.

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

40.

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)

41.

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

42.

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)

43.

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.

44.

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