If position of a vibrating mass at any time is defined as $y(t)=20cos(\frac{3}{4}t)$. Then the amplitude is

• A) $\frac{3}{4}$
• B) 20
• C)
• D)

A rigid body has....... degrees of freedom,

• A) three
• B) infinite many
• C) four
• D) six

Let 56kgms-1 be the linear momentum of a system of particles and 4ms-1 be the velocity of the center of mass then the total mass of the system would be _____kg.

• A) 120
• B) 14
• C) 46
• D) 68

Elastic spring force is not an example of conservative force.

• A) false
• B) true
• C)
• D)

Which of the following force is not conservative

• A) gravitational force
• B) frictional force
• C) elastic spring force
• D) electric force

In case of conservative force field, the total energy is........

• A) any function of time
• B) a constant
• C)
• D)

According to first law of motion if some external force is
acting on a body then the velocity of object is constant.

• A) false
• B) true
• C)
• D)

The force field $\vec{F}=3x\hat{i}-2y\hat{\hat{j}}$ is

• A) conservative
• B) non conservative
• C)
• D)

The frequency $f$ of an oscillatory system is equal to

• A) $f=e^{-T}$
• B) $f=-\frac{1}{T}$
• C) $f=e^{T}$
• D) $f=\frac{1}{T}$

Find the time period $T$ of the vibrating mass with $m=10$ and $f=30$

• A) $T=\frac{1}{30}$
• B) $T=\frac{1}{3}$
• C)
• D)

Newton's first law is also called

• A) law of inertia
• B) law of conservation of momentum
• C)
• D)

The restoring force of a harmonic oscillator is proportional to ......

• A) displacement
• B) velocity
• C) acceleration
• D) time

If position of a vibrating mass at any time is defined as $y(t)=10sin(\frac{1}{3}t)$. Then the amplitude is

• A) $\frac{1}{3}$
• B) 10
• C)
• D)

Friction is a

• A) non conservative force
• B) conservative force
• C)
• D)

Find the time period $T$ of the vibrating mass with $m=5$ and $f=10$

• A) $T=\frac{1}{10}$
• B) $T=\frac{1}{2}$
• C)
• D)

A person is pushed forward into his seat belt when car stops. Which of Newton's laws explains this motion?

• A) Newton's third law of motion
• B) Newton's second law of motion
• C) None of these
• D) Newton's first law of motion

In general when a body rotates about fixed point, the angular velocity and the angular momentum vector about the fixed point are in the same direction.

• A) False
• B) True
• C)
• D)

Let 64kgms-2 be the rate of linear momentum of a particle moving with the acceleration 16ms-2 then mass of the particle would be _____kg.

• A) 28
• B) 4
• C) 14
• D) 8

If a system is isolated, then the total external torque (moment of force) remains constant in ______.

• A) direction
• B) number of particles of the system
• C) magnitude
• D) both magnitude and direction

Let P be any point on the ellipsoid of inertia and 0.25kgm2 be the moment of inertia about any line OP of the rigid body. The length of line OP will be _____m.

• A) 4
• B) 5
• C) 1
• D) 2