Page 33 - SP015 Past Years PSPM Chapter 6 -14 Ver 2020

PSPM SP015

PSPM 2013/2014 SF016/2 No. 6(b)

16. X O Y
P

5 cm
25 cm

FIGURE 9.1

FIGURE 9.1 shows a bead executing a simple harmonic motion with a period of 1.8 s,
along a straight line between points, X and Y which are 25 cm apart. Point O is at
midpoint between X and Y.

(a) Write an equation for the displacement of the bead. [4 m]

(b) Calculate the magnitude of acceleration and velocity of the bead at point P.
[2 m]

(c) Calculate the positions along XY when the kinetic energy and the potential energy
of the bead are equal. [3 m]

PSPM 2015/2016 SF016/2 No. 6(c)

17. The displacement x of a particle varies with time, t is given by

  
.
4
x  0 cos  2 t  
 2 

where x is in cm and t in s. Calculate the

(a) frequency of the motion. [1 m]
(b) velocity of the particle at t = 2 s. [2 m]

(c) acceleration of the particle at t = 2 s. [2 m]

PSPM 2016/2017 SF016/2 No. 6(b)

18. A particle in simple harmonic motion along the x-axis starts from the equilibrium
position and moves towards the right with an amplitude of 2 cm and a frequency of
1.5 Hz.
(a) Write the simple harmonic motion equation of the particle. [1 m]

(b) Calculate the maximum speed of the particle. [2 m]
(c) Calculate the acceleration of the particle at t = 3.2 s. [2 m]

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