PH-101 Introductory Physics
Assignment #1
Date: 21-03-2011 Submission Date: 28-10-2010
1) The four particles in Figure.1 are connected by rigid rods of negligible mass. The origin is at the
center of the rectangle. If the system rotates in the xy plane about the z axis with an angular speed
of 6.00 rad/s, calculate (a) the moment of inertia of the system about the z axis and (b) the
rotational kinetic energy of the system.
2) Find the net torque on the wheel in Figure. 2 about the axle through O if a = 10.0 cm and
b = 25.0 cm.
3) A block–spring system oscillates with an amplitude of 3.50 cm. If the spring constant is 250 N/m
and the mass of the block is 0.500 kg, determine (a) the mechanical energy of the system, (b) the
maximum speed of the block, and (c) the maximum acceleration?
4) Consider the simplified single-piston engine in Figure.4. If the wheel rotates with constant
angular speed, explain why the piston rod oscillates in simple harmonic motion.
5) The angular position of a pendulum is represented by the equation. θ = (0.320 rad)cos ωt,
where θ is in radians and ω = 4.43 rad/s. Determine the period and length of the pendulum.
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