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Multiple choice rotational equilibrium option b: engineering physics motion of system of particles and rigid bodies equilibrium physics

Consider the following statements:
(a)  Change in momentum is impulse.
(b)  A body is momentarily at rest when it reverse the direction.
(c)  For stable equilibrium force has to be zero and potential energy should be minimum.
(d)  Force required to accelerate a mass in two perpendicular directions is never same.
Which of the above statements are correct?

  1. (b) and (c)

  2. (a) and (b)

  3. (a), (b) and (d)

  4. All of the above
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

All of the above
Impulse = Force$\times$time = $m\Delta{v}$ = Momentum
A body will be at rest for a moment when it changes direction.
When a body is in equilibrium it always has minimum potential energy and no force is acting upon it.
Force is a vector quantity and hence its direction will result in different force quantity.

Multiple choice rotational equilibrium option b: engineering physics motion of system of particles and rigid bodies equilibrium physics

State whether given statement is True or False.

When any object is in equilibrium, the sum of all the forces acting on it is zero.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

When an object is not in equilibrium, net force acting on the body is not zero.
Therefore when some force acts on the object, it is in accelerated motion because, $F= ma$

Multiple choice rotational equilibrium option b: engineering physics motion of system of particles and rigid bodies equilibrium physics

When a body remains in the state of rest conditions under the influence of applied forces, the body is in 

  1. Dynamic equilibrium

  2. Static equilibrium

  3. Both

  4. None
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The equilibrium is of two types
(1) Static equilibrium
(2) Dynamic equilibrium
When a body remains in the state of rest under the influence of the applied forces, the body is in static equilibrium.

Multiple choice rotational equilibrium option b: engineering physics motion of system of particles and rigid bodies equilibrium physics

A body is in translatory equilibrium if:

  1. Resultant force on it is zero

  2. It is at rest

  3. It is in uniform motion

  4. All options are correct
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A body is said to be in translatory equilibrium when net external force acting on it is zero.

Also if no external force is acting on the body, then the body must be at rest or moving with constant velocity i.e moves in uniform motion. Hence option D is correct.

Multiple choice rotational equilibrium option b: engineering physics motion of system of particles and rigid bodies equilibrium physics

The resultant of all the forces acting on the body in static equilibrium should be equal to 

  1. One

  2. Zero

  3. Two

  4. More than one
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The resultant of all the forces acting the body should be equal to zero. The resultant moment of all the forces acting on the body about the point of rotation should be zero.

Multiple choice rotational equilibrium option b: engineering physics motion of system of particles and rigid bodies equilibrium physics

When a body remains in the same state of motion (translational or rotational) under the influence of the applied forces, the body is said to be

  1. Static equilibrium

  2. Dynamic equilibrium

  3. Both

  4. None
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

When a body remains in the same state of motion (translational or rotational) under the influence of the applied forces, the body is said to be dynamic equilibrium.

Multiple choice rotational equilibrium option b: engineering physics motion of system of particles and rigid bodies equilibrium physics

A ball located at the bottom of a spherical deepening is in a state of _________ equilibrium. Fill in the blank. 

  1. Stable equilibrium

  2. Unstable equilibrium

  3. Neutral equilibrium

  4. All of the above
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Stable equilibrium means that, with small deviations of the body from this state, forces or moments of forces emerge which tend to return the body to the state of equilibrium. A ball located at the bottom of a spherical deepening is in a state of stable equilibrium.