Home
Class 11
PHYSICS
Two identical balls A and B each of mass...

Two identical balls `A and B` each of mass `0.1 kg` are attached to two identical mass less is springs. The spring-mass system is constrained to move inside a right smooth pipe bent in the form of a circle as shown in figure . The pipe is fixed in a horizontal plane. The center of the balls can move in a circle of radius `0.06 m`. Each spring has a natural length of `0.06 pi m` and force constant `0.1 N//m`. Initially, both the balls are displaced by an angle `theta = pi//6` radians with respect to diameter PQ of the circle and released from rest.
a. Calculate the frequency of oscillation of the ball B.
b. What is the total energy of the system ?
c. Find the speed of the ball A when A and B are at the two ends of the diameter PQ.

Text Solution

Verified by Experts

The correct Answer is:
`f=(1)/(pi);E=4pi^(2)xx10^(-5)J;V=2pixx10^(-2)m//s`
Figure
Promotional Banner

Similar Questions

Explore conceptually related problems

Two identical balls A and B eavh of mass 0.1 kg are attached to two identical mass less is springs. The spring-mass system is consetrained to move inside a right smooth pipe bent in the form of a circle as shown in figure . The pipe is fixed in a horigental plane. The center of the balls can move in a circle of radius 0.06 m . Each spring has a natural length of 0.06 pi m and force constant 0.1 N//m . Initially, both the balls are displaced bu an angle theta = pi//6 dadius withrespect to diameter PQ of the circle and released from rest. a. Calculate the frequency of oscillation of the ball B. b. What is the total energy of the system ? c. Find the speed of the bal A when A and B are at the two ends of the diameter PQ.

Two identical blocks each of mass 1kg are joined together with a compressed spring. When the system is released the two blocks appear to be moving with unequal speeds in the opposite directions as shown in fig. Choose the correct statement -

Two identical particles each of mass 0.5kg are interconnected by a light springs of stiffness 100N//m , time period of small oscillation is ….

Two identical blocks A and B of mass m joined together with a massless spring as shown in figure are placed on a smooth surface. If the block A moves with an acceleration a_0 , then the acceleration of the block B is

Two bodies A and B each of mass M are fixed together by a massless spring A force F acts on the mass B as shown in fig At the instant shown the mass A has acceleration a. What is the acceleration of mass B?

Two masses m and 2m are attached to two ends of an ideal spring as shown in figure. When thye spring is in the compressed state, the energy of the spring is 60 J, if the spring is released, then at its natural length

Two identical springs of spring constant k are attached to a block of mass m and to fixed supports as shown in the figure. The time period of oscillation is

Two masses A and B, each of mass M are fixed together by a massless spring. A force acts on the mass B as shown in figure. If the mass A starts moving away from mass B with acceleration 'a', then the acceleration of mass B wil be :-