# physics

A mass oscillate with SHM of amplitude A and period T y = A cos (2πt/T). The kinetic energy of the mass is equal with
twice the potential energy of the spring at :

1. y=Acos(2πt/T)
KE= (mA²ω²/2)sin²(2πt/T)
PE=(mA²ω²/2)cos²(2πt/T)
KE=2PE =>
(mA²ω²/2)sin²(2πt/T) = 2 (mA²ω²/2)cos²(2πt/T)
tan²(2πt/T)=2
tan (2πt/T)=√2 =1.41
(2πt/T) = arctan 1.41 = 0.954 rad
t= 0.954T/2π = 0.15T

posted by Anonymous

First Name

## Similar Questions

1. ### Physics

I need help with b... I found that k=.750880 for part a but I can't figure out what y would be to get potential energy. A 52 g mass is attached to a massless spring and allowed to oscillate around an equilibrium according to: y(t)
2. ### Physics

I need help with part b, c, and d please! A 45 g mass is attached to a massless spring and allowed to oscillate around an equilibrium according to: y(t) = 1.4 * sin( 4 * t ) where y is measured in meters and t in seconds.
3. ### Physics

A thrill-seeking cat with mass 4.00 kg is attached by a harness to an ideal spring of negligible mass and oscillates vertically in SHM. The amplitude is 0.050 m, and at the highest point of the motion the spring has its natural
4. ### Physics

In a horizontal spring-mass configuration, the position of the 0.52 kg mass is described by [x = (1.09 m) sin(2.70t)] a) What is in meters the amplitude of these oscillations? b) What is in m/s the maximum speed of the mass under
5. ### physics (simple harmonic motion)

If the phase angle for a block-spring system in SHM is π/5 rad and the block's position is given x = xm cos(ωt + ϕ), what is the ratio of the kinetic energy to the potential energy at time t = 0?
6. ### Physics Problem

A 3.00-kg mass is fastened to a light spring that passes over a pulley. They pulley is frictionless, and its inertia may be neglected. The mass is released from rest when the spring is unstretched. If the mass drops 10.0cm before
7. ### Physics

A mass is oscillating with amplitude A at the end of a spring. How far (in terms of A) is this mass from the equilibrium position of the spring when the elastic potential energy equals the kinetic energy?
8. ### physics

A mass is oscillating with amplitude A at the end of a spring. How far (in terms of A) is this mass from the equilibrium position of the spring when the elastic potential energy equals a half the kinetic energy?
9. ### Physics

A platform of mass 0.83 kg is supported on four springs (only two springs are shown in the picture, but there are four altogether). A chunk of modeling clay of mass 0.65 kg is held above the table and dropped so that it hits the
10. ### physics

Q.1.Find the total mechanical energy in one time period? my sir says that it is (1/2)mw^2A^2 but according to me it should be 1/4mw^2A^2.How? Q.2.The total mechnical energy of a spring mass system in SHM is E =

More Similar Questions