A block of mass m_1 resting on a frictionless horizontal surface is connected to a spring of spring cons†an t 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 μ .Assuming that the two blocks move together as a unit , find the period of oscillation of the system and also find maximum amplitude that permits the two bodies to move as unit.

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Q. Two blocks, with masses

m_{1}

and

m_{2}

, are stacked as shown in Fig. and placed on a frictionless horizontal surface. There is a friction between two blocks. An external force applied to the top block at an angle

α

below the horizontal.
a. If the two blocks move together, find their acceleration.
b. Calculate the maximum value of force so that blocks will move together.

A block P of mass m is placed on a frictionless horizontal surface. Another block Q of same mass is kept on P and connected to the wall with the help of a spring of spring constant k as shown in the figure. $μ_{s}$ is the coefficient of friction between P and Q. The blocks move together performing SHM of amplitude A. The maximum value of the friction force between P and Q is: