We know that in SHM velocity of particle at any time is given as:

So, velocity will be max at x=0

Therefore, positions where the speed of SHM is one fourth of maximum will be :





To find the value of X/A when v=vmax /2
We know:







At what positions is the speed of a simple harmonic oscillator one-fourth its maximum? That is,...
The maximum speed and acceleration of a simple harmonic oscillator are 0.87 m/s and 1.48 m/s^2 A. Find the amplitude of this motion. B. Find the period of this motion. Express your answers with the appropriate units.
A particle executes simple harmonic motion with an amplitude of 9.00 cm. At what positions does its speed equal one third of its maximum speed? larger number cm smaller number cm
A particle executes simple harmonic motion with an amplitude of 8.00 cm. At what positions does its speed equal one half of its maximum speed? larger number smaller number cm cm
A particle executes simple harmonic motion with an amplitude of 8.00 cm. At what positions does its speed equal one fifth of its maximum speed? larger number_____ cm smaller number _______cm
An object executing simple harmonic motion has a maximum speed vmax and a maximum acceleration amax. (a) Find the amplitude of this motion. Express your answer in terms of the variables vmax and amax. A = __ ? (b) Find the period of this motion. Express your answer in terms of the variables vmax and amax. T = __ ?
A simple harmonic oscillator consists of a block attached to a spring, moving back and forth on a frictionless horizontal surface. Suppose the mass of the box is 5.0 kg. The motion is started by holding the box at .50m from its central position, using a force of 40.0 N. Then the box is let go and allowed to perform simple harmonic motion. What is the amplitude of the motion? What is the spring constant k? What is the maximum...
A particle executes simple harmonic motion with an amplitude of 9.00 cm. At what positions does its speed equal two thirds of its maximum speed? (a) larger number cm (b) smaller number cm
A simple harmonic oscillator consists of a block attached to a
spring, moving back and forth on a frictionless horizontal surface.
Suppose the mass of the box is 5.0 kg. The motion is started by
holding the box at 0.50 m from its central position, using a force
of 40.0 N. Then the box is let go and allowed to perform simple
harmonic motion.
(a) What is the amplitude of the motion?
(b) What is the spring constant k?
(c)...
The maximum speed and acceleration of a simple harmonic oscillator are 0.92 m/s and 1.54 m/s2 . Find the oscillation amplitude.
A simple harmonic oscillator consists of a block attached to a spring, moving back and forth on a frictionless horizontal surface. Suppose the mass of the box is 5.0 kg. The motion is started by holding the box at 0.50 m from its central position, using a force of 40.0 N. Then the box is let go and allowed to perform simple harmonic motion. roosoo - 5m o +5 m (a) (2 points) What is the amplitude of the motion?...