Question

The position of a particle in cm is given by x = (9) cos 3πt, where...

The position of a particle in cm is given by x = (9) cos 3πt, where t is in seconds.

(a) What is the frequency?
Hz

(b) What is the period?
s

(c) What is the amplitude of the particle's motion?
cm

(d) What is the first time after t = 0 that the particle is at its equilibrium position?
s

In what direction is it moving at that time?

* in the positive direction

* in the negative direction    

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The position of a particle is given in cm by x = (9) cos 5πt, where...
The position of a particle is given in cm by x = (9) cos 5πt, where t is in seconds. (a) Find the maximum speed. .... m/s (b) Find the maximum acceleration of the particle. .... m/s2 (c) What is the first time that the particle is at x = 0 and moving in the +x direction? ..... s
The position of a particle is given in cm by x = (2) cos 9?t, where...
The position of a particle is given in cm by x = (2) cos 9?t, where t is in seconds. (a) Find the maximum speed. 0.565 m/s (b) Find the maximum acceleration of the particle. _______m/s2 (c) What is the first time that the particle is at x = 0 and moving in the +x direction? _______s
The position of a particle is given in cm by x = (2) cos 6πt, where...
The position of a particle is given in cm by x = (2) cos 6πt, where t is in seconds. (a) Find the maximum speed. m/s (b) Find the maximum acceleration of the particle. m/s2 (c) What is the first time that the particle is at x = 0 and moving in the +x direction? s
1) The position of a particle is given in cm by x = (4) cos 3πt,...
1) The position of a particle is given in cm by x = (4) cos 3πt, where t is in seconds. (a) Find the maximum speed.    m/s (b) Find the maximum acceleration of the particle. m/s2 2) An object of mass m is suspended from a vertical spring of force constant 1692 N/m. When the object is pulled down 2.51 cm from equilibrium and released from rest, the object oscillates at 5.10 Hz. Write expressions for the acceleration ax...
The position of a particle is given by the expression x = 2.00cos (6.00πt + 2π/5),...
The position of a particle is given by the expression x = 2.00cos (6.00πt + 2π/5), where x is in meters and t is in seconds. (a) Determine the frequency. Hz (b) Determine period of the motion. s (c) Determine the amplitude of the motion. m (d) Determine the phase constant. rad (e) Determine the position of the particle at t = 0.290s. m
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position,...
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is 3.10 cm, and the frequency is 1.60 Hz. (a) Find an expression for the position of the particle as a function of time. (Use the following as necessary: t. Assume that x is in centimeters and t is in seconds. Do not include units in your answer.)...
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position,...
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the maximum value, at t = 0, moving to the right. The amplitude of the motion is 2.00 cm and the frequency is 1.50 Hz. (a) Find an expression for the position of the particle as a function of time. Determine (b) the maximum speed of the particle and (c) the earliest time (t > 0) at which the particle has this speed. Find...
A particle's position is given by x = 7.00 - 15.00t + 3t2, in which x...
A particle's position is given by x = 7.00 - 15.00t + 3t2, in which x is in meters and t is in seconds. (a) What is its velocity at t = 1 s? (b) Is it moving in the positive or negative direction of x just then? (c) What is its speed just then? (d) Is the speed increasing or decreasing just then? (Try answering the next two questions without further calculation.) (e) Is there ever an instant when...
A particle's position is given by x = 12.0 - 9.00t + 3t2, in which x...
A particle's position is given by x = 12.0 - 9.00t + 3t2, in which x is in meters and t is in seconds. (a) What is its velocity at t = 1 s? (b) Is it moving in the positive or negative direction of x just then? (c) What is its speed just then? (d) Is the speed increasing or decreasing just then? (Try answering the next two questions without further calculation.) (e) Is there ever an instant when...
The position of a particle is given by x = 3.7 cos πt, where x is...
The position of a particle is given by x = 3.7 cos πt, where x is in meters and t is in seconds. (a) Find the maximum speed and maximum acceleration of the particle. (b) Find the speed and acceleration of the particle when x = 2.5 m.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT