Mechanics SHM Mock Tests

A simple pendulum of length L has a bob of mass m and charge q. A horizontal uniform electric field E exists in the region. The new time period of small oscillations is:

A simple pendulum of length L has a period T on Earth. If the pendulum is taken to a height h above the Earth surface where the gravitational acceleration becomes (2/3)g, its new period is:

A simple pendulum of length L and mass m has a period T_0 in a stationary frame. The pendulum is now placed in an elevator accelerating upward with acceleration a = g/3. The new period T is:

A simple pendulum of length L has period T on Earth. If the same pendulum is taken to a planet where the gravitational acceleration is g/4, the new period is:

A particle executes SHM with amplitude A. The ratio of its maximum speed to its maximum acceleration is:

A block of mass m is attached to two springs of spring constants k1 = 2k and k2 = k in parallel on a frictionless surface. The period of oscillation is T. What is the period if the same springs are connected in series?

A charged bead of charge q and mass m is threaded on a frictionless circular hoop of radius R in a horizontal plane. Another identical charge q is fixed at the top of the hoop. The bead is released from rest at the horizontal diameter position. Its speed when it reaches the bottom of the hoop is (assume the beads repel each other and use conservation of energy):

A uniform solid cylinder of mass M and radius R is placed inside a fixed hollow cylinder of radius 2R. The smaller cylinder rolls without slipping inside the larger one. For small oscillations, the angular frequency of oscillation is: