Two springs are connected in parallel as shown. If the mass is displaced from its equilibrium position and released. What is the resultant frequency of vibration?

A simple pendulum of length I and mass m is suspended in a car that is travelling with a constant speed v around a circle of radius R. If the pendulum undergoes small oscillations about its equilibrium position, what will be its frequency•of oscillation ?

A particle moves such that its acceleration a is given by a = - bx, where x is displacement from equilibrium position and b is a constant. The period of oscillation is

The bob of a simple pendulum of length 1 m is' pulled aside from its equilibrium’ position through an angle 60^@ and released. Calculate the speed at which the bob passes the equilibrium position.

Two resistances each of value 2 ohm and 4 ohm are connected in parallel and the total current through the combination is 1 amp. What are the values of current through each resistance?

A spring has a mass m suspended from it. If the spring is cut in half and same mass is suspended, from one of the halves, will the frequency of vibration is changed ?

Two resistances of 5 ohm and 10 ohm are connected in parallel and then a current is passed through them from a battery of 6 volt. Calculate the currents drawn from the battery and also the currents flowing through each of the resistances.

A particle starts oscillating simple harmonically from its equilibrium portion. What is the ratio of KE and PE. of the particle at time T/12 second ? (T is the time period of oscillation)

A metal wire of linear mass density of 9.8 gm^-1 is stretched with a tension of 10kg wt between two rigid supports of 1 metre apart. If the wire is allowed to vibrate in its fundamental frequency, then find the frequency of vibration.

Two long parallel wire hanging freely. If they are connected in a battery parallelly. What would be the effect of their position.

A bob of mass 0.1 kg hung from the ceiling of a room by a string 2 m long is set into oscillation. The speed of the bob at its mean position is 1 m s^1. What is the trajectory of the bob if the string is cut when the bob is (a) at one of its extreme positions, (b) at its mean position.