Home
Class 11
PHYSICS
Consider the situation shown in figure. ...

Consider the situation shown in figure. Initially the spring is unstretched when the system is released from rest. Assuming no friction in the puley, find the maximum eleongation of the spring.

Text Solution

Verified by Experts

The correct Answer is:
B

Mass of the body `=m `
Let the elongation be x
`So, 1/2 kx^2=mgh`
`rarrx=2 mg/k`
Promotional Banner

Similar Questions

Explore conceptually related problems

A small particle of mass m is fixed to the perimeter of a ring of same mass and radius r. The system comprising of particle and ring is placed on a horizontal plane. Friction is negligible on horizontal plane. Initially particle is at top most point, then the system is released from rest. Answer next two question when the particle is at the same height as the centre of ring aftr being released from top most point. Assume that the ring stays in vertical plane during its motion under consideration Mark the CORRECT option(s):

A small particle of mass m is fixed to the perimeter of a ring of same mass and radius r. The system comprising of particle and ring is placed on a horizontal plane. Friction is negligible on horizontal plane. Initially particle is at top most point, then the system is released from rest. Answer next two question when the particle is at the same height as the centre of ring aftr being released from top most point. Assume that the ring stays in vertical plane during its motion under consideration Mark the CORRECT option(s):-

In the balance machine shown in the figures. Which arm will move downward after the system is released from rest (assuming stiring, arm of balance machie and the pulley to be light)

On end of a light spring of natural length d and spring constant k is fixed on a rigid wall and the other is attached to a smooth ring of mass m which can slide without friction on a vertical rod fixed at a distance d from the wall. Initially the spring makes an angle of 37^@ with the horizontal. as shown in figure. When the system is released from rest, find the speed of the ring when the spring becomes horizontal. (sin 37^@=3/5) .

One end of a light spring of natural length 4m and spring constant 170 N/m is fixed on a rigid wall and the other is fixed to a smooth ring of mass (1)/(2) kg which can slide without friction in a verical rod fixed at a distance 4 m from the wall. Initially the spring makes an angle of 37^(@) with the horizontal as shown in figure. When the system is released from rest, find the speed of the ring when the spring becomes horizontal.

Consider one mole of perfect gas in a cylinder of unit cross section with a piston attached as shown in figure. A spring (spring constant k) is attached (unstretched length L ) to the piston and to the bottom of the cylinder. Initially the spring is unstretched and the gas is in equilibrium. A certain amount of heat Q is supplied to the gas causing an increase of value from V_0 to V_1 . (a) What is the initial pressure of the system ? (b) What is the final pressure of the system ? (c) Using the first law of thermodynamics, write down a relation between Q, P_a , V, V_0 and k.

A block of mass M is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has force constant value k. The mass is released from rest with spring initially unstretched. The maximum extension produced in the length of the spring will be............

In the given figure, Find mass of the block A, if it remains at rest, when the system is released from rest. Pulleys and strings are massless. [g=10m//s^(2)]

Two blocks A(3 kg) and B(2 kg) resting on a smooth horizontal surface is connected by a spring of stiffness 480N//m . Initially the spring is underformed and a velocity of 2 m//s is imparted to A along the line of the spring away from B. The maximum extension in meters of the spring during subsequent motion is :-

Block A in the figure is released from the rest when the extension in the spring is x_(0) . The maximum downward displacement of the block will be :