Question

c) The equation below describes the position r of a block attached to a spring at time t: x(t)-x,n cos (wt + ?) i. (2 marks) Explain in words the physical meaning of the variables xm, ? and ?. ii. (2 marks) Derive an expression for the velocity of the block. iii. (2 marks) The spring constant of your oscillator is 400 N/m. At some time the position, velocity and acceleration of the block are r-0.100 m, v- 13.6 m/s and a- -123 m/s The mass of the block is 0.325 kg. Calculate the frequency of the oscillation. iv. (4 marks) By using energy arguments, calculate the amplitude of the motion. (Use the data as in parti)

0 0
Add a comment Improve this question Transcribed image text
Request Professional Answer

Request Answer!

We need at least 10 more requests to produce the answer.

0 / 10 have requested this problem solution

The more requests, the faster the answer.

Request! (Login Required)


All students who have requested the answer will be notified once they are available.
Know the answer?
Add Answer to:
c) The equation below describes the position r of a block attached to a spring at...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
  • Pls help with detailed explanation of solution Consider a block attached to a spring of spring...

    Pls help with detailed explanation of solution Consider a block attached to a spring of spring constant k = 400 N/m. At time t1, the horizontal position (as measured from the location of the end of the spring when the spring is at its natural length) is x = 0.100 m, the velocity is v = −13.6 m/s and the acceleration is a = −123 m/s2. Calculate: (a) The frequency of oscillation (Hint: Consider calculating a/x.) (b) The mass of...

  • A harmonic oscillator consists of a block attached to a spring (k = 400 N/m). The...

    A harmonic oscillator consists of a block attached to a spring (k = 400 N/m). The mass is initially displaced to x_max = 0.128 m. At some later time, t, the block has the following kinematic variables: x = 0.100 m, v = -13.6 m/s, a = -123 m/s^2 a) find the frequency of oscillation b) the mass of the block c) the amplitude of the motion. d) and the total mechanical energy of the system.

  • A mass-spring oscillator consists of a 3.45-kg block attached to a spring of spring constant 72.0...

    A mass-spring oscillator consists of a 3.45-kg block attached to a spring of spring constant 72.0 N/m. At time t 3.00 s, the position and the velocity of the block are x-0.160 m and v -4.05 m/s What is the amplitude of oscillation? 0.901 m You are correct reviousies r receipt no. is 157-144 What was the position of the block at t-0 Submit An Tries 6/10 Previous Tries swer What was the speed of the block at t 0?

  • An oscillator consists of a block attached to a spring (k = 450 N/m). At some...

    An oscillator consists of a block attached to a spring (k = 450 N/m). At some time t, the position (measured from the system's equilibrium location), velocity, and acceleration of the block are x = 0.500 m, v = -12.5 m/s, and a = -107 m/s^2. (a) Calculate the frequency of oscillation. HZ (b) Calculate the mass of the block. kg (c) Calculate the amplitude of the motion. m

  • A simple harmonic oscillator consists of a block of mass 1.60 kg attached to a spring of spring c...

    A simple harmonic oscillator consists of a block of mass 1.60 kg attached to a spring of spring constant 170 N/m. When t = 1.50 s, the position and velocity of the block are x = 0.126 m and v = 3.090 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?

  • A simple harmonic oscillator consists of a block of mass 2.00 kg attached to a spring...

    A simple harmonic oscillator consists of a block of mass 2.00 kg attached to a spring of spring constant 100 N/m. When t = 1.00 s, the position and velocity of the block are x = 0.129 m and v = 3.415 m/s respectively. a) What is the amplitude of oscillations? b) What were the position and velocity of the mass at time t = 0?

  • A simple harmonic oscillator consists of a block of mass 4.30 kg attached to a spring...

    A simple harmonic oscillator consists of a block of mass 4.30 kg attached to a spring of spring constant 440 N/m. When t = 1.90 s, the position and velocity of the block are x = 0.179 m and v = 4.100 m/s. What is the amplitude of the oscillations? What were the position and velocity of the block at t = 0 s?

  • A simple harmonic oscillator consists of a block of mass 3.50 kg attached to a spring...

    A simple harmonic oscillator consists of a block of mass 3.50 kg attached to a spring of spring constant 400 N/m. When t = 1.70 s, the position and velocity of the block are x = 0.121 m and v = 4.020 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?

  • A simple harmonic oscillator consists of a block of mass 2.50 kg attached to a spring...

    A simple harmonic oscillator consists of a block of mass 2.50 kg attached to a spring of spring constant 190 N/m. When t = 1.70 s, the position and velocity of the block are x = 0.184 m and v = 3.140 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?

  • A simple harmonic oscillator consists of a block of mass 4.60 kg attached to a spring...

    A simple harmonic oscillator consists of a block of mass 4.60 kg attached to a spring of spring constant 290 N/m. When t = 0.530 s, the position and velocity of the block are x = 0.158 m and v = 3.560 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT