Home
Class 11
PHYSICS
Two blocks of masses m and M connected b...

Two blocks of masses m and M connected by a light spring of stiffness k, are kept on a smooth horizontal surface as shown in figure. What should be the initial compression of the spring so that the system will be about to break off the surface, after releasing the block `m_1`?

Text Solution

AI Generated Solution

To solve the problem, we need to determine the initial compression of the spring required for the system to just break off the surface after releasing the block of mass \( M \). ### Step-by-Step Solution: 1. **Understand the Forces Involved**: When the spring is compressed, it stores potential energy. Upon releasing the block \( M \), the spring will exert a force on both blocks \( m \) and \( M \). The system will break off the surface when the force exerted by the spring equals the weight of the block \( M \). 2. **Calculate the Potential Energy in the Spring**: ...
Promotional Banner

Topper's Solved these Questions

  • WORK, POWER & ENERGY

    CENGAGE PHYSICS|Exercise Solved Examples|15 Videos

  • WORK, POWER & ENERGY

    CENGAGE PHYSICS|Exercise Exercise 8.1|25 Videos

  • VECTORS

    CENGAGE PHYSICS|Exercise Exercise Multiple Correct|5 Videos

Similar Questions

Explore conceptually related problems

Two blocks of masses m_(1) and m_(2) being connected with a light spring of stiffness k are driven with forces F_(1) and F_(2) on a smooth horizontal plane.

A block of mass m is placed at rest on a smooth wedge of mass M placed at rest on a smooth horizontal surface. As the system is released

Two bars of masses m_1 and m_2 connected by a weightless spring of stiffness ϰ (figure) rest on a smooth horizontal plane. Bar 2 is shifted a small distance x to the left and then released. Find the velocity of the centre of inertia of the system after bar 1 breaks off the wall.

Two blocks of masses m_(1) and m_(2) are connected by a massless spring and placed on smooth surface. The spring initially stretched and released. Then :

Two blocks of masses m and m' are connected by a light spring on a horizontal frictionless table . The spring is compressed and then released . Find the ratio of acceleration of masses .

Two smooth blocks of mases m_(1) and m_(2) attached with an ideal spring of stiffness k and kept on hrozontal surface. If m_(1) is projected with a horizontal velocity v_(0) . Find the maximum compression of the spring.

Two blocks of masses m_(1) and m_(2) interconnect with a spring of stiffness K , are kept on as smooth horizontal surface. Find out the ratio of velocity, displacement, kinetic energy and acceleration block with mass m_(1) of block with mass m_(2) .

Two blocks A and B of masses m and 2m respectively are connected together by a light spring of stiffness k and then placed on a smooth horizontal surface. The blocks are pushed towards each other such that spring gets compressed by a length x_(0) and then released from rest. Find the work done on the block A by the spring, by the time the spring acquires its natural length.

A block of mass m compresses a spring iof stifffness k through a distacne l//2 as shown in the figure .If the block is not fixed to the spring the period of motion of the block is