Page 40 - SP015 Past Years PSPM Chapter 6 -14 Ver 2020

PHYSICS PSPM SEM 1 1999 - 2017

PSPM 2010/2011 SF017/2 No. 4(b)

37. A mass m at the end of a spring vibrates vertically with a frequency of 0.9 Hz. When an
additional 1.2 kg is attached to m, the frequency is 0.5 Hz. Calculate the value of m.
[3 m]

PSPM 2011/2012 SF016/2 No. 6(b)

38. An object of mass 50 kg suspended from a spring undergoes a simple harmonic motion
with a period of 6.0 s.
(a) Calculate the angular velocity of the motion. [2 m]
(b) What additional mass should be added to the spring so that it oscillates with a
period of 8.0 s? [3 m]

PSPM 2012/2013 SF016/2 No. 6(c)

39. A 175 g mass on a smooth surface is attached to a horizontal spring with a spring
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constant 8 N m . The mass is set to oscillate by pulling it 10 cm from its equilibrium
position and released. calculate
(a) the period of the oscillation. [2 m]
(b) the maximum speed of the mass. [3 m]
(c) the total energy of the system. [2 m]

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

40. A vertical spring extends by 3 cm when a 100 g mass is suspended at its end.
(a) Calculate the period of oscillation of the spring when a mass of 150 g is added to
the system. [3 m]
(b) If the spring with the same load is allowed to oscillate horizontally on a
frictionless surface, will the period decrease, same or increase? Justify your
answer. [2 m]

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

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41. A 50 g object connected to a spring with a spring constant 35 N m oscillates with
amplitude 4 cm on a horizontal frictionless surface. Calculate the
(a) total energy of the system. [2 m]
(b) speed of the object at displacement 1.6 cm. [3 m]
(c) change in the period of oscillation if a load of 6 g is added to the object. [3 m]

PSPM 2017/2018 SF016/2 No. 6(c)

42. Explain by derivation why the period of a simple pendulum does not depend on the
mass of the bob but the period of mass-spring system depends on the mass of the load.
[6 m]

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