A particle executes simple harmonic motion of amplitude A. At what distance from the mean position is its kinetic energy equal to its potential energy?
The time period of a simple pendulum with effective length equal to the radius of Earth (R) will be (g is acceleration due to gravity at the surface of earth)
The angular frequency of motion whose equation is given by is (y = displacement and t= time)
Three identical rods, each of length l are joined to form a rigid equilateral triangle. Its radius of gyration about an axis passing through a corner and perpendicular to the plane of the triangle is
A planet moves around the sun. At a point P it is closest from the sun at a distance d1 and has a speed V1. At another point Q, when it is farthest from the sun at a distance d2, its speed will be
When a ceiling fan is switched off, its angular velocity falls to half while it makes 36 rotations. How many more rotations will it make before coming to rest if the angular retardation is assumed uniform ?
Certain perfect gas is found to obey PV3/2 = constant during an adiabatic process. If such a gas at initial temperature T is adiabatically compressed to half the initial volume, its final temperature will be