Home
Class 11
PHYSICS
A system consists of two cubes of masses...

A system consists of two cubes of masses `m_(1)` and `m_(2)` respectively connected by a spring of force constant k. The force (F) that should be applied to the upper cube to keep it at rest for which the lower one just lifts after the force is removed is

Text Solution

Verified by Experts


The situation is shown in fig. Let the applied force F compresses the spring by x, so `F_(s)=kx`. After removal of force, the spring recovers its compressed length and further extends by x. At this instant the force exerted by spring is along upward direction. Thus, to lift off the lower disk, normal reaction N becomes zero.
When force is applied and spring is compressed,
`F=F_(S)+m_(1)g` ...(i)
When `m_(2)` leaves contact (we have, N=0) with ground and spring is stretched,
`F_(S)=m_(2)g` ..(ii)
From Eqs (i) and (ii) we have `F_(min)=(m_(1)+m_(2))g`
So to lift off the lower disk, `Fge(m_(1)+m_(2))g`.
Promotional Banner

Topper's Solved these Questions

  • NEWTON'S LAWS OF MOTION 1

    CENGAGE PHYSICS ENGLISH|Exercise Solved Examples|11 Videos

  • NEWTON'S LAWS OF MOTION 1

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 6.1|11 Videos

  • MISCELLANEOUS VOLUME 2

    CENGAGE PHYSICS ENGLISH|Exercise INTEGER_TYPE|10 Videos

  • NEWTON'S LAWS OF MOTION 2

    CENGAGE PHYSICS ENGLISH|Exercise Integer type|1 Videos

Similar Questions

Explore conceptually related problems

A system consists of two cubes of mass m_(1) , and m_(2) respectively connected by a spring of force constant k. force (F) that should be applied to the upper cube for which the lower one just lifts after the force is removed, is

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 plane .find the value of spring force .

Two blocks of masses m_(1) and m_(2) are connected by a spring of stiffness k. The coefficient of friction between the blocks and the surface is mu . Find the minimum constant force F to be applied to m_(1) in order to just slide the mass m_(2) .

The system of two weights with masses M_(1) and M_(2) are connected with weightless spring as shown in fig. The system is resting on the support S. Find the acceleration of each of the weights just after the support S is quickly removed.

Two blocks A and B of masses 5 kg and 2 kg respectively connected by a spring of force constant = 100Nm^(-1) are placed on an inclined plane of inclined 30^(@) as shown in figure If the system is released from rest

Two blocks of masses m_(1) and m_(2) are connected by an ideal sprit, of force constant k . The blocks are placed on smooth horizontal surface. A horizontal force F acts on the block m_(1) . Initially spring is relaxed, both the blocks are at rest. What is acceleration of centre of mass of system at the instant of maximum elongation of spring

Two blocks of masses m_(1) and m_(2) are connected by an ideal sprit, of force constant k . The blocks are placed on smooth horizontal surface. A horizontal force F acts on the block m_(1) . Initially spring is relaxed, both the blocks are at rest. Which of the following statement is not true tn the watt of above system.

A system consists of t wo identical masses A and B of mass m each connected to ends of a massless spring of force constant k as shown in figure. The minimum force F applied vertically downward on A, such that on its release, B will leave the floor.

Two blocks of masses m_(1) and m_(2) are connected with a light spring of force constant k and the whole system is kept on a frictionless horizontal surface. The masses are applied forces F_(1) and F_(2) as shown in fig. At any time the blocks have same acceleration a_(0) but in opposite direction. Now answer the following : If F_(2) is removed at this moment, then just after the acceleration of m_(2) is

Two blocks of masses m_(1) and m_(2) are connected with a light spring of force constant k and the whole system is kept on a frictionless horizontal surface. The masses are applied forces F_(1) and F_(2) as shown in fig. At any time the blocks have same acceleration a_(0) but in opposite direction. Now answer the following : the value of spring force is