Home
Class 11
PHYSICS
The arrangement shown in figure is at re...

The arrangement shown in figure is at rest. An ideal spring of natural length `l_0` having spring constant `k=220Nm^-1`, is connected to block A. Blocks A and B are connected by an ideal string passing through a frictionless pulley. The mass of each block A and B is equal to `m=2kg` when the spring was in natural length, the whole system is given an acceleration `veca` as shown. If coefficient of friction of both surfaces is `mu=0.25`, then find the maximum extension in `(cm)` of the spring. `(g=10ms^-2)`.

Text Solution

Verified by Experts

The correct Answer is:
`10`
Let the maximum extension in spring be x.

Apply work-energy theorem: (Net work done by tension will be zero)
`-1/2kx^2-8x-7x+28x-2x=DeltaKE=0`
`implies -1/2xx220x^2+11x=0-x=0.1m=10cm`
Promotional Banner

Topper's Solved these Questions

  • WORK, POWER & ENERGY

    CENGAGE PHYSICS|Exercise Archives (sinble Correct )|19 Videos

  • WORK, POWER & ENERGY

    CENGAGE PHYSICS|Exercise Archives(multiple Correct)|3 Videos

  • WORK, POWER & ENERGY

    CENGAGE PHYSICS|Exercise Linked Comprehension|55 Videos

  • VECTORS

    CENGAGE PHYSICS|Exercise Exercise Multiple Correct|5 Videos

Similar Questions

Explore conceptually related problems

The arrangement shown in the diagram is moving in space with an acceleration a=4(hati+hatj)m//s^(2) . An ideal spring of natural length l_(0) having spring constant k=50 N//m , is connected to block A. Blocks A and B are connected by an ideal string passing through a frictionless pulley. Mass of each block A and B is equal to m=2kg . ( a ) Calculate the minimum value of coefficient of friction so that spring remains in its natural length. ( b ) If mu is reduced to (9//35)^(th) of the original value, calculate the maximum extension of the spring.

Two blocks of masses 3 kg and 6 kg are connected by a string as shown in the figure over a frictionless pulley. The acceleration of the system is

The two blocks A and B of same mass connected to a spring and placed on a smooth surface. They are given velocities (as shown in the figure) when the spring is in its natural length :

Two blocks A and B , each of mass 10 kg , are connected by a light string passing over a smooth pulley as shown in the figure. Block A will remain at rest if the friction on it is

Two blocks, each having mass m, are connected with an ideal string through ideal pulleys on a frictionless fixed wedge as shown in the figure. The acceleration of the blocks is

Two blocks A and B of the same mass are connected to a light spring and placed on a smooth horizontal surface B is given velocity v_(0) (as shown in the figure) when the spring is in natural length. In the subsequent motion.

Two blocks are connected by a cord passing over a small frictionless pulley and resting on frictionless planes as shown in the figure. The acceleration of the blocks is :

Two blocks of masses m and 2m compress a spring of spring constant k by x_(0) and blocks are a connected by a thread and placed on a smooth surface as shown. Now , thread is burned. Find the speed of each block when the spring attains its normal length L .

In the arrangement shown, the pulleys and the strings are ideal.The acceleration of the block B is

In the arrangement shown, the pulleys and the string are ideal. The acceleration of block B is.