Posted by **Amy** on Sunday, December 30, 2012 at 4:36pm.

A mass is suspended from a vertical spring and the system is allowed to come to rest. When the mass is now pulled down a distance of 76mm and released, the time taken for 25 oscillations is 23s.

Find the displacement of the mass from its rest position 0.6s after being released. State the direction of this displacement.

The answer is -43.1mm upward, but I am not sure how to work out the direction?

- Physics -
**drwls**, Sunday, December 30, 2012 at 6:08pm
The oscillation period is 23/25 = 0.920 seconds. 0.6 seconds is 0.65217 periods after the maximum displacement, so the phase angle is x = 4.0977 radiansafter maximum downward displacement.

Displacement @ t=0.6 s (with + being down)

= 76 mm*(cos x)

= 76 mm*(-0.57668)

= -43.8 mm (- is upward)

I believe my -43.8 mm answer is more accurate than the -43.1 that you quote.

## Answer This Question

## Related Questions

- physics - One end of a massless coil spring is suspended from a rigid ceiling. ...
- physics - One end of a massless coil spring is suspended from a rigid ceiling. ...
- physics - A mass of 2 kg is hung from the lower end of a vertical spring and ...
- physics - When a mass is attached to a vertical spring, the spring is stretched ...
- Physics - A spring hanging from the ceiling has an unstretched length of 80 cm. ...
- Physics - A spring hanging from the ceiling has an unstretched length of 80 cm. ...
- Physics - When a mass is attached to a vertical spring, the spring is stretched ...
- Physics - One end of a spring is attached to the ceiling. The unstretched length...
- PHYSIC - WHEN A MASS IS ATTACHED TO A VERTICAL SPRING,THE SPRING IS STRETCHED A ...
- Physics help - A 1.0 kg object is suspended from a vertical spring whose spring...

More Related Questions