Q.4. Discuss the following systems supported by figures/diagrams:

(a)

Equilibrium of a System coplanar forces (5)

Centre of mass of right circular solid cone of height h. (5)

(b) Centre of gravity of a rigid body of any shape. (10)

Q.5.(a) What is Simple Harmonic Motion? Discuss it in detail using Derivatives with respect time.(10)

(b) Describe the Simple Harmonic Motion of a pendulum and Calculate the time period of the

motion. (10)

Q.6.(a) Derive expression for the following:

Moment of inertia (5)

Product of inertia (5)

(b) Calculate the moment of inertia of solid sphere of mass m=37 and radius a=15.

Derive the general expression. (10)

Q.7.(a) Explain Kepler’s Laws. (10)

(b) What is Impulsive Motion? Derive its equation. (10)

Q.8.(a) Define Work, Torque, Power and energy. (10)

(b) A cricket ball is thrown vertically upwards, it attained the maximum height h after t Seconds. Calculate its. (10)

Velocity of projection in direction vertically upward.

Acceleration when it returns to the point of projection.

(a)

Equilibrium of a System coplanar forces (5)

Centre of mass of right circular solid cone of height h. (5)

(b) Centre of gravity of a rigid body of any shape. (10)

Q.5.(a) What is Simple Harmonic Motion? Discuss it in detail using Derivatives with respect time.(10)

(b) Describe the Simple Harmonic Motion of a pendulum and Calculate the time period of the

motion. (10)

Q.6.(a) Derive expression for the following:

Moment of inertia (5)

Product of inertia (5)

(b) Calculate the moment of inertia of solid sphere of mass m=37 and radius a=15.

Derive the general expression. (10)

Q.7.(a) Explain Kepler’s Laws. (10)

(b) What is Impulsive Motion? Derive its equation. (10)

Q.8.(a) Define Work, Torque, Power and energy. (10)

(b) A cricket ball is thrown vertically upwards, it attained the maximum height h after t Seconds. Calculate its. (10)

Velocity of projection in direction vertically upward.

Acceleration when it returns to the point of projection.

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