Question1

Consider a simple pendulum consisting of a point mass m attached to the end of a mass less rod. The pendulum executes small damped oscillations about the vertical of frequency 9 radians per second. Now, assume we introduce an additional torque such that the new equilibrium such that the new equilibrium position is 60 relative to the vertical. If a new small-oscillation frequency is 6 radians per second, find out the rod length L

Question2

A force F S 1 of magnitude 6.00 units acts on an object at the origin in a direction u 5 30.0° above the positive x-axis. A second force F S 2 of magnitude 5.00 units acts on the object in the direction of the positive y-axis. Find out graphically the magnitude and direction of the resultant force F S 1 1 F2.

Question3

A parachutist with a camera, both descending at a speed of 15 m/s, releases camera at an altitude of 48.4 m. What is the magnitude of the velocity of camera just before it hits the ground? The acceleration of gravity is 9.8 m/s2 and air friction is negligible.

Reply in units of m/s