Question1
A simple pendulum consists of an object suspended by a string. The object is supposed to be a particle. The string with its top end fixed, has a negligible mass and do not stretch. In the nonappearance of air friction, system oscillates by swinging back and forth in vertical plane. If spring is two meters long and makes an initial angle of 30(degree) with the vertical, compute the speed of particle -
a) At lowest points in its trajectory and
b) When angle is 15(degree).
Question2
A car of mass accelerates from speed to speed while going up a slope that makes an angle with the horizontal. The coefficient of static friction is, and the acceleration because of gravity is. Find out the total work done on the car by the outside forces.