Page 31 - SP015 Past Years PSPM Chapter 6 -14 Ver 2020

PSPM SP015

PSPM JAN 1999/2000 SF035/2 No. 1(b)

8. A mass is hung at the end of a spring. The mass is pulled down and is released so that it
oscillates vertically. The distance between upper point and lower point is 0.4 m. If the
mass takes 0.75 s to travel this distance, calculate

(a) the angular speed. [1 m]

(b) the maximum speed. [2 m]

PSPM JAN 1999/2000 SF035/2 No. 9(e)

9. A 50 g mass is connected to a spring that moves horizontally on a smooth surface in
simple harmonic motion with amplitude 16 cm and period 4 s. Determine the total
mechanical energy of the system and its spring constant. [3 m]

PSPM JUN 2000/2002 SF035/2 No. 9(b)(i), (ii), (iii)

10. A 0.5 kg body on one end of a spring oscillates with 3.0 cycles per second. If the
amplitude of oscillation is 0.15 m,

(a) calculate the speed of the body when it passes the equilibrium point. [2 m]

(b) calculate the speed of the body when it is at 0.1 m from the equilibrium point.
[2 m]

(c) determine the total energy of the system. [2 m]

PSPM 2005/2006 SF017/2 No. 4

11. A body oscillates with simple harmonic motion described by the following expression

y = 3 sin 4t

where y and t are displacement in meter and time in second, respectively.

(a) Calculate the oscillating period. [1 m]

(b) At t = 2 s,

(i) calculate the speed of the body. [2 m]

(ii) state the direction of body motion. [1 m]

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