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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.
Define angular S.H.M. and obtain its differential equation.
Concept: Angular S.H.M. and It's Differential Equation
Using the differential equation of linear S.H.M., obtain an expression for acceleration, velocity, and displacement of simple harmonic motion.
Concept: Acceleration (a), Velocity (v) and Displacement (x) of S.H.M.
Write the differential equation for angular S.H.M.
Concept: Angular S.H.M. and It's Differential Equation
A 0.1 H inductor a 25 × 10-6 F capacitor and a 15 Ω resistor are connected in series to a 120 V, 50 Hz AC source. Calculate the resonant frequency.
Concept: Free Oscillations, Forced Oscillations and Resonance Oscillations
Derive a formula for the length of second's pendulum.
Concept: Simple Pendulum
A particle performing Linear S.H.M. has a maximum velocity 25 cm/sand maximum acceleration 100 cm/s2. Find the period of oscillations.
Concept: Differential Equation of Linear S.H.M.
Calculate the velocity of a particle performing S.H.M. after 1 second, if its displacement is given by x = `5sin((pit)/3)`m.
Concept: Acceleration (a), Velocity (v) and Displacement (x) of S.H.M.
A bar magnet of mass 120 g in the form of a rectangular parallelepiped, has dimensions l = 40 mm, b = 10 mm and h = 80 mm, with its dimension ‘h’ vertical, the magnet performs angular oscillations in the plane of the magnetic field with period π seconds. If the magnetic moment is 3.4 Am2, determine the influencing magnetic field.
Concept: Angular S.H.M. and It's Differential Equation
