Mechanics PYQ

A particle moves in a circle of radius R with constant speed v. The magnitude of average velocity over half revolution is:

Two blocks of masses m and 2m are connected by a light string over a frictionless pulley. The acceleration of the system is:

A particle moves along x-axis with acceleration a = -ω²x. If at t=0, x = A and v = 0, then x(t) is:

A block of mass m on a frictionless incline of angle θ is connected to a spring of spring constant k. The time period of oscillation is:

A block of mass m is pulled up an incline of angle θ with constant velocity. The work done by friction is

Two masses m₁ and m₂ connected by a spring collide. During collision, the spring has maximum compression when