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A particle is subjected to two mutually perpendicular simple harmonic motions such that its x and y coordinates are given by x = 2 sin omega t ; y = 2 sin (omega t + pie/4) The path of the particle will be Two particles move parallel to the x-axis about the origin with same [...]

A system of two identical rods (L-shaped) of mass m and length l are resting on a peg P as shown in the figure. If the system is displaced in its plane by a small angle theta, find the A system of two identical rods (L-shaped) of mass m and length l are resting on [...]

A uniform semicircular ring having mass m and radius r is hanging at one of its ends freely as shown in the given figure. The ring is slightly disturbed so that it oscillates in its own plane. A uniform semicircular ring having mass m and radius r is hanging at one of its ends freely [...]

Two particles are executing identical simple harmonic motions described by the equations, x1 = a cos (omega t + (pie/6)) and x2 = a cos (omega t + pie/3). The minimum interval Two particles are executing identical simple harmonic motions described by the equations x1 = a cos (omega t + (pie/6)) and x2 = [...]

A particle executing SHM has velocities u and v and acceleration a and b in two of its positions. Find the distance between these two positions. A particle executing SHM has velocities u and v and acceleration a and b in two of its positions. Find the distance between these two positions. October 31, 2020 [...]

A body of mass 100 g attached to a spring executes SHM of period 2 s and amplitude 10 cm. How long a time is required for it to move from a point 5 cm below its equilibrium A body of mass 100 g attached to a spring executes SHM of period 2 s and [...]

A block of mass 4 kg hangs from a spring of spring of spring constant k = 400 N/m. The block is pulled down through 15 cm below and released. What is its kinetic energy when the block A block of mass 4 kg hangs from a spring of spring of spring constant k = [...]

A particle executing SHM of amplitude ‘a’ has a displacement a/2 at t = T/4 and a negative velocity. The epoch of the particle is A particle executing SHM of amplitude 'a' has a displacement a/2 at t = T/4 and a negative velocity. The epoch of the particle is October 31, 2020 Category: Uncategorised [...]

The potential energy of a particle executing SHM along the x-axis is given by U = U0 – U0 cos ax. What is the period of oscillation ? The potential energy of a particle executing SHM along the x-axis is given by U = U0 - U0 cos ax. What is the period of oscillation [...]

Two particles move parallel to the x-axis about the origin with same amplitude ‘a’ and frequency omega. At a certain instant they are found at a distance a/3 from the origin on opposite Two particles move parallel to the x-axis about the origin with same amplitude 'a' and frequency omega. At a certain instant they [...]