System of Particles and Rotational Motion Test

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System of Particles and Rotational Motion Test - 7

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Weekly Quiz Competition

Question 1
1 / -0

Rigid body is a body which

A
does not deform on the application of force

B
deforms on application of force

C
becomes longer or shorter if force is applied

D
does not maintain the same distance between any two points on it if force is applied.

Solution

A rigid body is an idealization of a solid body in which deformation or change in shape is neglected on application of deforming force.
Question 2
1 / -0

In pure translational motion of a rigid body

A
at different instants of time every particle of the body has the same velocity.

B
at any instant of time velocity is dependent on the position vector of a point on the body

C
at any instant of time every particle of the body has the same velocity.

D
at any instant of time different particles of the body have different velocities.

Solution

In translational motion when the body moves along a straight line or more exactly when every point of the body travels on paralell lines, thus at any instant of time every particle of the body has the same velocity.
Question 3
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In rotation of a rigid body about a fixed axis is that in which

A
every particle of the body moves in a ellipse, which lies in a plane perpendicular to the axis and has its focii on the axis

B
every particle of the body moves at the same speed

C
particles close to the axis have larger velocities

D
every particle of the body moves in a circle, which lies in a plane perpendicular to the axis and has its centre on the axis

Solution

When a rigid body rotates about a fixed axis, all particles of the body except those which lies on the axis of rotation, move along circular paths in a plane perpendicular to the axis.
Question 4
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In precession such as that of a top

A
the axis of rotation is fixed

B
the axis of rotation oscillates horizontally

C
the axis of rotation moves

D
the axis of rotation oscillates vertically

Solution

As precession is a change in the orientation of the rotational axis of a rotating body, so the orientation of axis of rotation of Top change
Question 5
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In a general motion of a rigid body

A
only rotation is present

B
only translation is present

C
both translation and rotation can be present

D
particles on the body always move around an axis in circles

Solution

In general motion of the body can be seen as the combination of pure translation of the center of mass and pure rotation of the body about the center of mass like the motion of a wheel.
Question 6
1 / -0

the centre of mass of a system of particles moves

A
as if all the mass of the system was concentrated in a sphere around the centre of mass and all the external forces were zero

B
as if all the mass of the system was concentrated at the centre of mass and all the external forces were zero

C
as if all the mass of the system was concentrated at the centre of mass and all the external forces were applied at that point

D
as if all the mass of the system was concentrated at the axis of rotation and all the external forces were absent

Solution

The centre of mass of a system of particles moves as if all the mass of the system is concentrated at the centre and all the external forces were applied at that point. In order to ease the calculations involved in the dynamics of an extended body, we treat any extended body as the system of particles, and the motion of centre of mass of the system is calculated by taking the mass of the whole system to be concentrated at the centre of mass and the external forces acting on system are said to be acting on the centre of mass.

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System of Particles and Rotational Motion Test - 7

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System of Particles and Rotational Motion Test - 7

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Question 1

does not deform on the application of force

deforms on application of force

becomes longer or shorter if force is applied

does not maintain the same distance between any two points on it if force is applied.

Solution

Question 2

at different instants of time every particle of the body has the same velocity.

at any instant of time velocity is dependent on the position vector of a point on the body

at any instant of time every particle of the body has the same velocity.

at any instant of time different particles of the body have different velocities.

Solution

Question 3

every particle of the body moves in a ellipse, which lies in a plane perpendicular to the axis and has its focii on the axis

every particle of the body moves at the same speed

particles close to the axis have larger velocities

every particle of the body moves in a circle, which lies in a plane perpendicular to the axis and has its centre on the axis

Solution

Question 4

the axis of rotation is fixed

the axis of rotation oscillates horizontally

the axis of rotation moves

the axis of rotation oscillates vertically

Solution

Question 5

only rotation is present

only translation is present

both translation and rotation can be present

particles on the body always move around an axis in circles

Solution

Question 6

as if all the mass of the system was concentrated in a sphere around the centre of mass and all the external forces were zero

as if all the mass of the system was concentrated at the centre of mass and all the external forces were zero

as if all the mass of the system was concentrated at the centre of mass and all the external forces were applied at that point

as if all the mass of the system was concentrated at the axis of rotation and all the external forces were absent

Solution

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