A weight is attached to a spring and reaches its equilibrium posi- tion (x = 0). It is then set in motion resulting in a displacement of x = 10 cos t, where x is measured in centimeters and t is measured in seconds. See the accompanying figure. -10 Equilibrium position at x = 0 10 a. Find the spring's displacement when t = 0, t = 7/3, and t = 37/4. b. Find the spring's velocity when t = 0, t = T/3, and t = 37/4. www

Question
A weight is attached to a spring and reaches its equilibrium posi-
tion (x = 0). It is then set in motion resulting in a displacement of
x = 10 cos t,
where x is measured in centimeters and t is measured in seconds.
See the accompanying figure.
-10
Equilibrium
position
at x = 0
10
a. Find the spring's displacement when t = 0, t = 7/3, and
t = 37/4.
b. Find the spring's velocity when t = 0, t = T/3, and
t = 37/4.
www

Image Transcription

A weight is attached to a spring and reaches its equilibrium posi- tion (x = 0). It is then set in motion resulting in a displacement of x = 10 cos t, where x is measured in centimeters and t is measured in seconds. See the accompanying figure. -10 Equilibrium position at x = 0 10 a. Find the spring's displacement when t = 0, t = 7/3, and t = 37/4. b. Find the spring's velocity when t = 0, t = T/3, and t = 37/4. www

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Applications of Derivative