- #1
phazei
- 9
- 0
the problem gives
x(t)= A cos( (k/m)^(1/2) * t)
A block of mass m is attached to a spring whose spring constant is k. The other end of the spring is fixed so that when the spring is unstretched, the mass is located at x=0. View Figure . Assume that the +x direction is to the right.
The mass is now pulled to the right a distance A beyond the equilibrium position and released, at time t=0, with zero initial velocity.
and asks
At what time t_1 does the block come back to its original position for the first time?
Express your answer in terms of k and m.
So when t=0
cos( (k/m)^(1/2) * 0) = 1
so at t_1
cos( (k/m)^(1/2) * t_1) = 1
so
(k/m)^(1/2) * t_1 = 2pi
so t_1 = 2pi(m/k)^(1/2)
but when i submit it it says it's off by a multiplicative factor!
what's wrong with that?
thanks,
adam
x(t)= A cos( (k/m)^(1/2) * t)
A block of mass m is attached to a spring whose spring constant is k. The other end of the spring is fixed so that when the spring is unstretched, the mass is located at x=0. View Figure . Assume that the +x direction is to the right.
The mass is now pulled to the right a distance A beyond the equilibrium position and released, at time t=0, with zero initial velocity.
and asks
At what time t_1 does the block come back to its original position for the first time?
Express your answer in terms of k and m.
So when t=0
cos( (k/m)^(1/2) * 0) = 1
so at t_1
cos( (k/m)^(1/2) * t_1) = 1
so
(k/m)^(1/2) * t_1 = 2pi
so t_1 = 2pi(m/k)^(1/2)
but when i submit it it says it's off by a multiplicative factor!
what's wrong with that?
thanks,
adam