Question
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?
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?
Answers
Cady
Never mind, I got the answers
Ben
@Cady, what are the