Page 24 - SP015 Past Years PSPM Chapter 6 -14 Ver 2020

PHYSICS PSPM SEM 1 1999 - 2017

PSPM 2009/2010 SF017/2 No. 11

37.

M

R

m

FIGURE 8.16

FIGURE 8.16 shows a uniform solid cylinder of mass M = 2.0 kg and radius R = 10 cm
pivoted horizontally so that it is free to rotate. A mass m = 3.0 kg is suspended by a
string that is wound around the cylinder. The system is released from rest. Given the
2
moment of inertia of the solid cylinder, I  1 2 MR
(a) Calculate the acceleration of the mass m. [6 m]
(b) Calculate the tension in the string. [2 m]

(c) Upon completion of 5 revolutions by the cylinder, calculate the
(i) rotational kinetic energy of the cylinder. [5 m]
(ii) angular momentum of the cylinder. [2 m]

PSPM 2011/2012 SF016/2 No. 5(b)

38.

1.5 kg

FIGURE 8.17

FIGURE 8.17 shows a 1.5 kg block hung by a light string which is wound around a
2
pulley of radius 20.0 cm. The moment of inertia of the pulley is 2.0 kg m . When the
mass is released from rest, calculate the

(a) torque exerted on the pulley. [4 m]
(b) angular velocity of the pulley at t = 4.2 s. [1 m]
(c) number of revolutions made by the pulley in 4.2 s. [2 m]

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