Friday

August 1, 2014

August 1, 2014

Posted by **Anonymous** on Sunday, January 9, 2011 at 8:09pm.

x = (13 cm)cos[(20 rad/s)t + π/2 rad]

(a) What is the oscillation frequency (in Hz)? (b) What is the maximum speed acquired by the block? (c) At what value of x does this occur? (d) What is the magnitude of the maximum acceleration of the block? (e) At what positive value of x does this occur? (f) What force, applied to the block by the spring, results in the given oscillation?

How do you even start this problem? Please help

- physics -
**Damon**, Sunday, January 9, 2011 at 8:32pmfirst find the period. That is when the argument of the cos changes by 2 pi

when t = 0

20(0) + pi/2 = pi/2

2 pi + Pi/2 = 2 pi + pi/2

so

period when 20t = 2 pi

or T = 2 pi/20 = pi/10

f = 1/T = 10/pi

b

dx/dt = .13 (20)(-sin(20t+pi/2))

max when |sin| = 1

dx/dt max = 2.6 m/s

c

well at lots of values of x but one is when

20t+pi/2 = pi/2

or t = 0

d take the next derivative and repeat

e now you have the acceleration d^2x/dt^2

F = m a

**Related Questions**

physics - A 0.21 kg block oscillates back and forth along a straight line on a ...

physics please! - A 0.21 kg block oscillates back and forth along a straight ...

physics ( please help me) - A 2.00kg block is pushed against a spring with force...

physics - [20 pts] A 2.00 kg block is pushed against a spring with negligible ...

Physics - An 8.00 kg block is placed on a rough horizontal surface and connected...

Physics - A 1.40 kg block moves in a straight line on a horizontal frictionless...

physics - A block rests on a frictionless horizontal surface and is attached to ...

physics - 7.0 kg block moves in a straight line on a horizontal frictionless ...

physics - A physics student pulls a block of mass m = 23 kg up an incline at a ...

math - The displacement (in centimeters) of a particle moving back and forth ...