Physics
posted by Anushka
A particle executing simple harmonic motion of amplitude 5 cm and period 2 s. Find the speed of the particle at a point where its acceleration is half of its maximum value

Steve
x = 5sin(πt)
x" = 5π^2 sin(πt)
x" = 5/2 at two times. You can use the graph at
http://www.wolframalpha.com/input/?i=sin(t)+%3D+1%2F(2pi%5E2)
to see which value to use.
Respond to this Question
Similar Questions

conceptual physics problem
A particle is oscillating in simple harmonic motion. The time required for the particle to travel through one complete cycle is equal to the period of the motion, no matter what the amplitude is. But how can this be, since larger amplitudes … 
Physics (Oscillation)
If a particle moves in simple harmonic motion with a frequency of 3.00 Hz and an amplitude of 5.00 cm through what total distance does the particle move during one cycle of its motion, what is its maximum speed, where does this maximum … 
physics
A particle executes simple harmonic motion with an amplitude of 10 cm and time period 6 s. At t=0 it is at position x=5 cm going towards positive x direction . Write the equation for the displacement x at time t. Find the magnitude … 
physics
A 10 g particle undergoes Simple Harmonic Motion with an amplitude of 2.0 mm, a maximum acceleration of magnitude 8.0 X 10^3 m/s^2, and an unknown phase constant, theta. What are a.) the period of the motion, b.) the maximum speed … 
Physics
A 10kg particle undergoes simple harmonic motion with an amplitude of 2.0mm, a maximum acceleration of 8.0x10^3 m/s^2, and an unknown phase constant (phi) What are: a.) the period of the motion b.) the maximum speed of the particle … 
Physics
A 10kg particle undergoes simple harmonic motion with an amplitude of 2.0mm, a maximum acceleration of 8.0x10^3 m/s^2, and an unknown phase constant (phi) What are: a.) the period of the motion b.) the maximum speed of the particle … 
Physics: Simple Harmonic Motion
A 10kg particle undergoes simple harmonic motion with an amplitude of 2.0mm, a maximum acceleration of 8.0x10^3 m/s^2, and an unknown phase constant (phi) What are: a.) the period of the motion b.) the maximum speed of the particle … 
physics
A particle that undergoes simple harmonic motion has a period of 0.4 s and an amplitude of 12 mm. The maximam velocity of the particle is? 
physics
A particle with a mass of 3.00 1020 kg is oscillating with simple harmonic motion with a period of 7.00 105 s and a maximum speed of 4.50 103 m/s. (a) Calculate the angular frequency of the particle. rad/s (b) Calculate the maximum … 
Physics
1. A particle moving with simple harmonic motion has maximum displacement of 50 cm angular velocity of 1.02rad/s. Calculate the (a) the maximum velocity (b) maximum acceleration of the particle (c) the speed and acceleration of the …