Question

6. A 0.10 kg block oscillates back and forth along a straight line on a frictionless...

6. A 0.10 kg block oscillates back and forth along a straight line on a frictionless horizontal surface. Its displacement from the origin is given by the equation of motion x=5cos⁡(10πt).
What is the oscillation angular frequency and frequency?

What is the maximum speed of the block? At what x does it moves the fastest?

What is the maximum acceleration of the block? At what x does it accelerate the most?

At what value of x does the force applied have the maximum magnitude?

How many complete swings did the object move in 1.5 seconds?

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
6. A 0.10 kg block oscillates back and forth along a straight line on a frictionless...
6. A 0.10 kg block oscillates back and forth along a straight line on a frictionless horizontal surface. Its displacement from the origin is given by the equation of motion x=5cos⁡(10πt). a)What is the oscillation angular frequency and frequency? ANS_______________________ ANS_________________________________ b)What is the maximum speed of the block? At what x does it moves the fastest? ANS__________________________ ANS________________________ c)What is the maximum acceleration of the block? At what x does it accelerate the most? ANS________________________ ANS________________________ d)At what value...
A 0.30 kg block oscillates back and forth along a straight line on a frictionless horizontal...
A 0.30 kg block oscillates back and forth along a straight line on a frictionless horizontal surface. Its displacement from the origin is given by x = (18 cm)cos[(11 rad/s)t + π/2 rad] (a) What is the oscillation frequency? (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?...
1.A 1.10 kg block sliding on a horizontal frictionless surface is attached to a horizontal spring...
1.A 1.10 kg block sliding on a horizontal frictionless surface is attached to a horizontal spring with k = 490 N/m. Let x be the displacement of the block from the position at which the spring is unstretched. At t = 0 the block passes through x = 0 with a speed of 3.40 m/s in the positive x direction. What are the (a) frequency and (b) amplitude of the block's motion 2.A vertical spring stretches 13 cm when a...
(1) A simple pendulum oscillates back and forth with a maximum angular displacement of θMax “...
(1) A simple pendulum oscillates back and forth with a maximum angular displacement of θMax “ (pi/12) radians. At t = 1.2s, the pendulum is at its maximum displacement. The length of the pendulum is L = 35cm and the mass of the bob attached to the end of it is m = 300g. (a) What is the angular frequency of this oscillation? (b) What is the angular position as a function of time? (c) What is the angular speed...
A simple pendulum oscillates back and forth with a maximum angular displacement of pi/12 radians. At...
A simple pendulum oscillates back and forth with a maximum angular displacement of pi/12 radians. At t=1.2s, the pendulum is at its maximum displacement. The length (L) of the pendulum is 35cm and the mass (m) of the bob attached to the end of it is 300g. (a) What's the angular frequency of this oscillation? (b) What's the angular position as a function of time? (c) What's the angular speed as a function of time? (d) If damping is introduced...
A mass attached to a spring oscillates back and forth on a horizontal frictionless surface. The...
A mass attached to a spring oscillates back and forth on a horizontal frictionless surface. The velocity of the mass is modeled by the function v = 2πfA cos(2πft) when at t = 0, x = 0. What is the magnitude of the velocity in cm/s at the equilibrium position for an amplitude of 4.5 cm and a frequency of 2.3 Hz?
A 0.225 kg block attached to a light spring oscillates on a frictionless, horizontal table. The...
A 0.225 kg block attached to a light spring oscillates on a frictionless, horizontal table. The oscillation amplitude is A = 0.190 m and the block moves at 3.50 m/s as it passes through equilibrium at x = 0. (a) Find the spring constant, k (in N/m). N/m (b) Calculate the total energy (in J) of the block-spring system. J (c) Find the block's speed (in m/s) when x = A/2 m/s.
(15 pts) A 0.50 kg object connected to a spring with a spring constant of 350...
(15 pts) A 0.50 kg object connected to a spring with a spring constant of 350 N/m oscillates on a horizontal, frictionless surface with an amplitude of 4.00 cm. a) What is the angular frequency of the oscillation? b) What is the maximum speed of the object? c) At what position does this maximum speed occur? d) What is the acceleration of the object at x = 2.00 cm? e) What is the total energy of the mass-spring system?
A 3.5kg mass is attached to an ideal spring (k = 100.0N/m) and oscillates on a...
A 3.5kg mass is attached to an ideal spring (k = 100.0N/m) and oscillates on a horizontal frictionless track. At t = 0.00s, the mass is released from rest at x = 15.0cm. a.) Determine the frequency (f) of the oscillations. b.) Determine the maximum speed of the mass. At what point in the motion does the maximum speed occur? c.) What is the maximum acceleration of this mass? At what point in the motion does the maximum acceleration occur?...
A block rests on a frictionless horizontal surface and is attached to a spring. When set...
A block rests on a frictionless horizontal surface and is attached to a spring. When set into simple harmonic motion, the block oscillates back and forth with an angular frequency of 8.9 rad/s. The drawing shows the position of the block when the spring is unstrained. This position is labeled ''x = 0 m.'' The drawing also shows a small bottle located 0.080 m to the right of this position. The block is pulled to the right, stretching the spring...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT