Saturday

October 25, 2014

October 25, 2014

Posted by **Dan** on Sunday, February 6, 2011 at 4:25pm.

a. What is the lowest possible value for the spring constant?

b. What is the second lowest possible value for the spring constant?

- Physics -
**Damon**, Sunday, February 6, 2011 at 4:58pmif 0 at 0 and v+ then

x = .3 sin 2 pi f t

.25 = .3 sin 2 pi f(.2)

.8333 = sin 2 pi f(.2)

so

2 pi f(.2) = sin^-1 .8333 = 56.4 deg = .985 radians

so

2 pi f = 4.92 radians/second

but

w = sqrt(k/m) = 2 pi f

so

k/m = (4.92)^2

k = .4 (4.92)^2

the next one will be at twice the frequency so it makes a second trip in that time

2 pi f = w = 9.84 radians /second

- Physics -
**Dan**, Sunday, February 6, 2011 at 5:58pmThanks, I wasn't able to get the second part of the answer (got a spring constant of 24.21 N/m) correct though.

- Physics -
**Dan**, Sunday, February 6, 2011 at 6:35pmFor the second part, since this is a sine function, there's a particular angle that would have the same value as 0.8333. Like sin(0 deg) and sin(180 deg) equals to 0. So I did 180 - 56.4 to get that particular angle. Once I got that, I converted it to radians and repeated the steps you provided after that. Thanks for the help Damon.

**Answer this Question**

**Related Questions**

trig - A spring is attached to the ceiling and pulled 17 cm down from ...

physics - 1. a 2 kg body is attatched to a spring of negligible mass and ...

Physics - A particle hangs from a spring and oscillates with a period of 0.2 s....

physics - a vertical spring with spring stiffness constant 305 n/m oscillates ...

Physics 3 - A particle of mass m = 0.35 kg is oscillating on the end of a spring...

physics - A mass of 2 kg is hung from the lower end of a vertical spring and ...

physics mechanics - A block weighing 17 N oscillates at one end of a vertical ...

physics - A block with mass m =7.3 kg is hung from a vertical spring. When the ...

Physics - An ideal massless spring is fixed to the wall at one end. A block of ...

physics - a mass of 0.7kg is attached to a horizontal spring (k=5.2) the spring...