A block of mass M=1 kg resting on a smooth horizontal surface is connected to a horizontal light spring of spring constant k=6N/m whose other end is fixed to a verticall wall. Another block of mass m=0.5 kg is placed over the block M. If the coefficient of friction between the two blocks `mu`=0.4, find the maximum kinetic energy (in J) that the system can have for simple hormonic oscillation under the action of the spring.

A block of mass m_1 resting on a frictionless horizontal surface is connected to a spring of spring constant k that is anchored in a near by wall. A block of mass m_2 is placed on the top of the first block. The coefficient of static friction between the two blocks is mu Assuming that the two blocks move together as a unit, find the period of oscillation of the system and also find maximum oscillation amplitude that permits the two bodies to move as a unit.

A block of mass m_1 resting on a frictionless horizontal surface is connected to a spring of spring constant k that is anchored in a near by wall. A block of mass m_2 is placed on the top of the first block. The coefficient of static friction between the two blocks is mu Assuming that the two blocks move together as a unit, find the period of oscillation of the system and also find maximum oscillation amplitude that permits the two bodies to move as a unit.

A block A of mass m_(1) is placed on a horizontal frictionless table. It is connected to one end of a light spring of force constant k whose other end is fixed to a wall. A small block B of mass m_(2) is placed on block A. The coefficient of static friction between the blocks is mu . The system is displaced slightly from its equilibrium position and released. What is the maximum amplitude of the resulting simple harmonic motion of the system so that the upper block does not slip over the lower block ?

Two blocks A and B of mass 16kg and 64kg are placed on a smooth horizontal surface. Blocks are connected by a spring of spring constant 100 N//m . Find the ratio of maximum speed of block A to maximum speed of block B .

A block of mass M is being pulley along horizontal surface .The coefficient of friction the block and the surface is mu If another block of mass M//2 is placed on the block and it is pulled is again pulled on the surface , the coefficient of friction the block and the surface will be

A block of mass M is being pulley along horizontal surface .The coefficient of friction the block and the surface is mu If another block of mass M//2 is placed on the block and it is pulled is again pulled on the surface , the coefficient of friction the block and the surface will be