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Spring Problems-Applied Physics-Assignment, Exercises of Applied Chemistry

This course includes Motion, Oscillations, waves and propagation, Electric Charge and Coulomb Law, Electric Field, Electric Potential, Capacitors and Dielectric, Current and Resistance, AC and DC, Magnetic fields, Ampere Law and Faraday law, Maxwell equations and Traveling waves. This file includes: Rigid, Rods, Moment, Inertia, System, Rotational, Kinetic, Energy, Torque, Wheel, Spring, System

Typology: Exercises

2011/2012

Uploaded on 07/31/2012

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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 blockspring 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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PH-101 Introductory Physics

Assignment # Date: 21-03-2011 Submission Date: 28-10-

  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 ω t , where θ is in radians and ω = 4.43 rad/s. Determine the period and length of the pendulum.

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  1. A sinusoidal wave is described by y = (0.25 m) sin(0.30 x - 40 t ) Where x and y are in meters and t is in seconds. Determine for this wave the (a) amplitude, (b) angular frequency, (c) angular wave number, (d) wavelength, (e) wave speed, and (f) direction of motion.
  2. An astronaut on the Moon wishes to measure the local value of the free-fall acceleration by timing pulses traveling down a wire that has an object of large mass suspended from it. Assume a wire has a mass of 4.00 g and a length of 1.60 m, and that a 3.00-kg object is suspended from it.

A pulse requires 36.1 ms to traverse the length of the wire. Calculate g Moon from these data. (You

may ignore the mass of the wire when calculating the tension in it.)

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