Question: At the instantaneous center, the velocity of the moving lamina at any instant is_________________?

• 1. zero
• 2. maximum
• 3. minimum
• 4. varying

Question: Which of the following represents the state of neutral equilibrium ?

• 1. a cube resting on one edge
• 2. a smooth cylinder lying on a curved surface
• 3. a smooth cylinder lying on a convex surface
• 4. none of the above

Question: One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then

• 1. a simple harmonic motion
• 2. a rectilinear motion with constant speed
• 3. a damped oscillatory motion
• 4. none of the above

Question: A simple pendulum of length / has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be___________________?

• 1. E
• 2. E/2
• 3. 2E
• 4. 4E

Question: If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to_________________?

• 1. A
• 2. A/2
• 3. A/V2
• 4. AV2

Question: It is observed that in a certain sinusoidal oscillation, the amplitude is linearly dependent on the frequency f. If the maximum velocity during the oscillation is V, then V must be proportional to_________________?

• 1. f
• 2. 1/f
• 3. 1/f2
• 4. f2

Question: A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is___________________?

• 1. 4.5 J
• 2. 9.0 J
• 3. 12.0 J
• 4. 18.0 J

Question: If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is___________________?

• 1. proportional to A
• 2. proportional to A2
• 3. proportional to 1/A2
• 4. independent of A

Question: A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?

• 1. 15°
• 2. 30°
• 3. 45°
• 4. 75°

Question: If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are___________________?

• 1. 0 and 5 m/sec
• 2. 5 m/sec and 0
• 3. 5 V3 m/sec and 0
• 4. 5 and 5V3 m/sec