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A particle executing linear S.H.M. has velocities v1 and v2 at distances x1 and x2 respectively from the mean position. The angular velocity of the particle is _______
Concept: Differential Equation of Linear S.H.M.
The compressibility of a substance is the reciprocal of _________.
(a) Young’s modulus
(b) bulk modulus
(c) modulus of rigidity
(d) Poisson's ratio
Concept: Eneral Explanation of Elastic Property
A particle performing linear S.H.M. has the maximum velocity of 25 cm/s and maximum acceleration of 100 cm/ m2. Find the amplitude and period of oscillation. (π = 3.142)
Concept: Differential Equation of Linear S.H.M.
The length of the second’s pendulum in a clock is increased to 4 times its initial length. Calculate the number of oscillations completed by the new pendulum in one minute.
Concept: Periodic and Oscillatory Motion
State Hooke’s law. Define the elastic limit and modulus of elasticity.
Concept: Hooke’s Law
From differential equation of linear S.H.M., obtain an expression for acceleration, velocity and displacement of a particle performing S.H.M.
Concept: Differential Equation of Linear S.H.M.
A body of mass 1 kg is mafe to oscillate on a spring of force constant 16 N/m. Calculate (a) Angular frequency, (b) Frequency of vibrations.
Concept: Periodic and Oscillatory Motion
Obtain the expression for the period of a simple pendulum performing S.H.M.
Concept: Simple Pendulum
A particle performing linear S.H.M. of period 2π seconds about the mean position O is observed to have a speed of `"b" sqrt3` m/s, when at a distance b (metre) from O. If the particle is moving away from O at that instant, find the time required by the particle, to travel a further distance b.
Concept: Oscillations
Answer in brief.
Using differential equations of linear S.H.M, obtain the expression for (a) velocity in S.H.M., (b) acceleration in S.H.M.
Concept: Acceleration (a), Velocity (v) and Displacement (x) of S.H.M.
At what distance from the mean position is the speed of a particle performing S.H.M. half its maximum speed. Given the path length of S.H.M. = 10 cm.
Concept: The Energy of a Particle Performing S.H.M.
A particle is moving in a circle with uniform speed. Its motion is ______
Concept: Explanation of Periodic Motion
Acceleration of a particle executing S.H.M. at its mean position.
Concept: Acceleration (a), Velocity (v) and Displacement (x) of S.H.M.
Two S.H.M.’s have zero phase difference and equal amplitudes A. The resultant amplitude on their composition will be ______
Concept: Amplitude (A), Period (T) and Frequency (N) of S.H.M.
A simple pendulum moves from one end to the other in ¼ second. What is its frequency?
Concept: Amplitude (A), Period (T) and Frequency (N) of S.H.M.
State the formula for the frequency of S.H.M in terms of force constant.
Concept: Free Oscillations, Forced Oscillations and Resonance Oscillations
What does the phase of π/2 indicate in linear S.H.M.?
Concept: Linear Simple Harmonic Motion (S.H.M.)
Define linear S.H.M.
Concept: Linear Simple Harmonic Motion (S.H.M.)
The acceleration due to gravity on the surface of the moon is 1.7 m/s2. What is the time period of a simple pendulum on the surface of the moon if its time period on the surface of the earth is 3.5 s? (g on the surface of earth = 9.8 m/s2)
Concept: Amplitude (A), Period (T) and Frequency (N) of S.H.M.
Obtain an expression for the resultant amplitude of, the composition of two S.H.M.’s having the same period along the same path.
Concept: Amplitude (A), Period (T) and Frequency (N) of S.H.M.
