10 minutes maximum! Can you do it in 5?

Q1+2: A high-rise building is swaying in a strong wind. The time period is 2 s and the amplitude of the motion of the top floor is 0.5 m. The motion can be assumed to be SHM.

  

 1. What is the value of ω?

  • A. ½π rad s-1
  • B. π rad s-1
  • C. 2π rad s-1
  • D. 4π rad s-1

2. What is the value of the acceleration when x = 0.5 m?

  • A. ½π2 ms-2
  • B. π2 ms-2
  • C. 2π2 ms-2
  • D. 14π2 ms-2

The following 4 graphs are to used for questions 3- 5:

Which of these graphs shows the variation with displacement of..

  
3. ...the kinetic energy of an SHM system?
4. ...the potential energy of an SHM system?
5. ...the total kinetic energy and potential energy of an SHM system?

 

Q6-8.

A mass m on a spring is oscillating as shown. This is a simple harmonic oscillation, with a time period of T.

 

 

SHM spring GIF from Oleg Alexandrov
Oleg Alexandrov
http://commons.wikimedia.org/

6. What is the new time period if the mass m is replaced with a mass of 4m?

  • A. ½ T
  • B. T
  • C. 2 T
  • D. 4 T

7. Which of the following best describes the velocity and the acceleration at the lowest point of the oscillation?

 velocity Acceleration
A
 zero zero
B
 zero maximum
C
 maximum zero
D
 maximum maximum

8. The graph shown here gives the displacement of the mass from the centre point at a time T.

Which of the following graphs shows the variation of velocity at a time T?

 

9. A pendulum of mass m and length l has a time period T. Which of the following formulas correctly gives l in terms of m, T and the gravitational field strength, g?

    

10. On a planet in our solar system, a pendulum of length 1 m swings with a time period of 2 seconds. To a good approximation, π2 = 10. What is the value of the gravitational field strength on this planet?

  • A. 20 N kg-1
  • B. 10 N kg-1
  • C. 4 N kg-1
  • D. 1 N kg-1