# Given x(t) for a certain SHM, find x, v, and a at a given instant.

Not what you're looking for?

For a certain point executing SHM on an x axis with amplitude .40 m, the equation giving its location as a function of time is given by:

(1) x = .4 m cos (6 t)

a. At time t= .35 sec, find the location, the velocity and the acceleration of the moving point.

b. Find the first time after t=0 that the moving point is located at x= X1= -.31 m.

##### Purchase this Solution

##### Solution Summary

A function of simple harmonic motion is given. The location, velocity and acceleration is given.

##### Solution Preview

Part a. Step 1.

Substituting .35 sec for t in equation (1) should give you:

ANSWER: (2) x(.35) = - .20 m.

Step 2.

Since velocity v is dx/dt, taking the derivative ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### The Moon

Test your knowledge of moon phases and movement.

##### Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

##### Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

##### Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

##### Basic Physics

This quiz will test your knowledge about basic Physics.