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Optics

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Unit One
Worksheet 1
1. A particle undergoes SHM with amplitude of 4.0mm and angular frequency of 2.0 s-1. At t = 0, the displacement is 2 2 mm. Write down the equation of displacement for this motion. 2. A particle undergoes SHM with amplitude of 8.00 cm and an angular frequency of 0.25 s-1.
At t = 0 the velocity is 1.24 cm s-1.
(a) Write down the equation for displacement and velocity for this motion.
(b) Calculate the initial displacement.
(c) Calculate the first time at which the particle is at x = 2.00 cm and x = - 2.00 cm.
3. (a) Calculate the length of a pendulum that has a period equal to 1.00s.
(b) Calculate the percentage increase in the period of a pendulum when the length is increased by 4.00%.
4. The graph in the …show more content…

The body is shown in four positions A,B,C and D. Copy the diagram in each position, draw arrows to represent the direction and relative magnitude of (a) the acceleration of the body, and (b) the net force on the body.
15. The piston (of mass 0.25 kg) of a car engine has a stroke of 9.0 cm and operates at 4500 rev per minute as shown in the figure

(a) Calculate the acceleration of the piston at maximum displacement
(b) Calculate the velocity as the piston moves past its equilibrium point,
(c) What is the net force exerted on the piston at maximum displacement?
16. The graph in the figure shows the variation with time t of the velocity v of a particle executing SHM.

(a) Using the graph, estimate the area between the curve and the time axis from 0.10 s to
0.30s.
(b) state what this area represents.
(c) Hence write down an equation giving the displacement of the particle as a function of time. 17. The graph in the figure shows the variation with time t of the displacement x of a particle executing SHM.

Draw a graph to show the variation with displacement x of the acceleration ‘a’ of the particle. 18. The graph in the figure shows the variation with displacement x of the acceleration ‘a’ of a body of mass 0.150 kg

(a) Use the graph to explain why the motion of the body is SHM. Determine the following;

(b) the period of motion;
(c) the maximum velocity of the body during the oscillation.
(d) the maximum net force exerted on the body

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