Posted by **Cady** on Thursday, March 10, 2011 at 12:22am.

The function y=Asin (sqrt(k/m)t) represents the oscillations of a mass m at the end of a spring. The constant k measures the stiffness of the spring.

1. Find the first positive time time t1 at which the mass is farthest from its equilibrium position: t1=_________________

2. Find the first positive time t2 at which the mass is moving fastest: t2=______________

3.Find the first positive time t3 at which the mass has the largest acceleration (in magnitude): t3=______________

4. What is the period, T , of the oscillation? T=________________

5. Find dT/dm: dT/dm=____________

For 1. I have (pi/2)/sqrt(k/m)

For 2 I have Acos((sqrt(k/m)))(sqrt(k/m))

For 3 I have Asqrt(k/m)

For 4 I don't have anything really...

For 5 m^(1/2)2pi/k^(1/2)

I don't know if these answers are right.. could someone please check these answers and help me with number 4?

## Answer this Question

## Related Questions

- physics - a vertical spring with spring stiffness constant 305 n/m oscillates ...
- Physics - A spring id vertically, as shown below, and a 500g mass is hung from ...
- spring physics check work plz - A block (mass 0.5 kg) is hanging from the end of...
- science - A mass 'm'is atached to one of an unstreched spring,spring constant k,...
- PHYSICS - HELP - I NEED HELP ON C THROUGH F. THANK YOU A spring id vertically, ...
- PHYSICS - HELP - A spring id vertically, as shown below, and a 500g mass is hung...
- Physics - Oscillations - An astronaut measures her mass by means of a device ...
- physics - A mass of 2 kg is hung from the lower end of a vertical spring and ...
- physics (3 seperate questions) - 1. A small fly of mass 0.26 g is caught in a ...
- physics - Objects of equal mass are oscillating up and down in simple harmonic ...

More Related Questions