System of Particles and Rotational Motion Test

Result

System of Particles and Rotational Motion Test - 3

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Question 1
1 / -0

In pure translation, every particle of the body moves with the _________ at any instant of time.

A
different velocity

B
same velocity

C
constant velocity

D
none of the above

Solution

In pure translation, every particle of the body moves with the same velocity at any instant of time. The particles have different velocity when they are rotating about some axis.
Question 2
1 / -0

Which of the following is one of the kinematic equation in rotation motion?

A
ω = ω₀ + αt

B
θ – θ₀ = ω₀t + 1/2 α t²

C
ω² = ω₀² + 2α (θ –θ₀)

D
All of the above

Solution

The kinematical quantities in rotational motion, angular displacement (θ), angular velocity (ω) and angular acceleration (α) respectively correspond to kinematic quantities in linear motion, displacement (x), velocity (v) and acceleration (a) respectively.

The corresponding kinematic equations for rotational motion with uniform angular acceleration are:

ω = ω₀ + αt

θ – θ₀ = ω₀t + 1/2 α t²

ω² = ω₀² + 2α (θ –θ₀)

Since all the equations are mentioned in all the three option.