physics
posted by Pronab
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 of the acceleration of the particle at t=4s.

bobpursley
A=10cm
w=2PIf=2PI/T= PI/3
f(t)=Acos(wt+Phi)
f(0)=10cm*cos(0+phi)=5 >>>phi=PI/3 radians
f(t)=10cm*cos(wt+PI/3)
f'=10cm*w*sin(wt+PI/3)=velocity
f"=10cm*w^2*cos(PI*t/3+PI/3)=acceleration 
Pronab
Q 2) A particle executes simple harmonic motion with an amplitude of 10 cm. At what distance from the mean position are the kinetic and potential energies equal ?

surbhi
X=(10cm)sin(2¦Ð/6st+¦Ð/6),~11cm s
Respond to this Question
Similar Questions

trig
8. Write the equation for simple harmonic motion given that the amplitude is 5 centimeters and the frequency is 2/ ð cycles per second. Assume that the maximum displacement occurs when t = 0. a. y = 5sin4t b. y = 5cos2t c. y = 5cos4t … 
physics
Q 2) A particle executes simple harmonic motion with an amplitude of 10 cm. At what distance from the mean position are the kinetic and potential energies equal ? 
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 vibrates in Simple Harmonic Motion with amplitude. What will be its displacement in one timeperiod if you attach a mass to the spring from its initial equilibrium position, it vibrates forever in simple harmonic motion. … 
physics
A 5.7 kg block attached to a spring executes simple harmonic motion on a frictionless horizontal surface. At time t = 0 s, the block has a displacement of 0.70 m, a velocity of 0.80 m/s, and an acceleration of +2.7 m/s2. The amplitude … 
physics
A simple harmonic oscillator executes motion whose amplitude is 0.20 m and it completes 60 oscillations in 2 minutes. i) Calculate its time period and angular frequency. ii) If the initial phase is 45°, write expressions for instantaneous … 
Physics
A particle executes simple harmonic motion such that at t = 0 it is at the amplitude of oscillation A = 22.5 cm. The period of the oscillation is 0.25 s. When is the first time this particle will be at x = 1/2 the amplitude, moving …