A bob suspended from the ceiling of a car which is accelerating on a horizontal road. The bob stays t rest with respect to the car when the string is making an angle `theta` with the vertical.The linear momentum of the bob as seen from the road is increasing with momentum? If not, where is the external force which changes the linear momentum?

A simple pendulum is suspended from the ceiling a car accelerating uniformly on a horizontal road. If the acceleration is a_0 and the length of the pendulum is l, find the time period of small oscillations about the mean position.

A simple pendulum of length l is suspended from the ceilling of a car moving with a speed v on a circular horizontal road of radius r. a. Find the tension in the string when it is at rest with respect to the car. b.Find the time period of small oscillation.

A plumb bob is hung from the ceiling of a train compartment. If the train moves with an acceleration a along a straight horizontal track, the string supporting the bob makes an angle tan^1 (a/g) with the normal to the ceiling. Suppose the train moves on an inclined straight track with uniform velocity, if the angle of incline is tan^-1(a/g) , the string again makes the same angle with the normal to the ceiling. Can a person sitting inside the compartment tell by looking at the plumb line whether the train is accelerated on a horizontal straight track or it is going on an incline? If yes, how? If no, suggest a method to do so.

A simple pendulum is suspended from the ceiling of a car taking a turn of radius 10 m at a speed of 36 km/h. Find the angle made by the string of the pendulum with the vertical if this angle does not change during the turn. Take g=10 m/s^2 .

A car is speeding up on a horizontal road with an acceleration a. Consider the following situations in the car. i. A ball is suspended from the ceiling through a string and is maintaining a constant angel with the vertical. Find this angle. Ii. A block is kept on a smooth incline and does not slip on the incline. Find the angle of the incline with a horizontal.

Figure shows a smasll sphereical bal of mass m rolling down the loop track. Thebasll is released on the linear portion at a verticla height H from the lowest point. The circular part show has a radius R. a. find the kinetic energy of the ball when it is at a point where the radius makes an angle theta with the horizontal. Find the radial and the tangential accelerations of the cente when the ball is at A. c. find the bnormal force and the frictionasl force acting on the ball if H=60 cm, R=10cm theta=0 and m=70 fg.

one end of a spring of natural length h and spring constant k is fixed at the ground and the other is fitted with a smooth ring of mass m which is allowed to slide on a horizontal rod fixed at a height h figure. Initially, the spring makes an angle of 37^0 with the vertical when the system is released from rest. find the speed of the ring when the spring becomes vertical.

A heavy ball is suspended from the ceiling of a motor car through a light string. A transverse pulse travels at a speed of 60 cm s^-1 on the string when the car is at rest and 62 cm s^-1 when the car accelerates on a horizontal road. Find the acceleration of the car. Take g = 10 ms^-2

A simple pendulum having bob of mass m is suspended from the ceiling of a car used in a stunt film shooting. The car moves up along an inclined cliff at a speed v and makes a jump to leave the cliff and lands at some the top of the cliff. The tension in the string when the car is in air is

A 4.0 kg block is suspended from the ceiling of an elevator through a string having a linear mass desity of 19.2xx10^-3 kgm^-1 . Find the speed (with respect to the string) with which a wave pulse can proceed on the string if the elavator accelerates up at the rate of 2.0ms^-2. Take g=10 ms^-2 .