Q- A simple fatigue testing machine has a moving base that is 15kg and is constrained to only move vertically. The base is supported by a rubber block with a spring constant, k = 18 kN/m and a viscous damping constant of c = 200N.s/m. A rotating mass which is part of the base creates a harmonic forc…
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. October 2019
Relative Motion
Q- A boat which can travel at 12.5 m/s in still water needs to travel West across a river with a current of 8.4 m/s flowing South.
(a) What heading must the boat take in order to travel West relative to the shore? Draw a diagram.
(b) What will be the boat’s velocity relative to the shore?
Sound: Resonance
Q- A 1.2 m long tube is closed at one end. A stretched wire is placed near the open end. The wire is 0.330 m long and has a mass of 9.60 g. It is fixed at both ends and oscillates in its fundamental mode. By resonance it sets the air column in the tube into oscillation at the column’s fundamental fr…
Thermodynamics
Q- Air enters the compressor of a gas turbine plant (operating at steady state) at ambient conditions of 1 bar, 250C with low velocity and exits at 10 bar, 3500C with a velocity of 90 m/s. The compressor is cooled at a rate of 1500 kJ/min and the power input to the device is 250 kW. Determine the ma…
Electrostatics: Coulomb's Law
Q- Two positive, 1 nC charges are located on the x-axis. Charge Q1 is located at the origin and charge Q2 is located at (4,0) which is 4 cm from the origin.
(a) Calculate the magnitude and direction of the force experienced by Q2 due to Q1.
(b) A third charge Q3 of 2 nC is positioned on the y-ax…
Rotational Motion: Angular Momentum
Q- A horizontal disk of mass 150g and radius 20 cm rotates at 10 rev/min about its axis, without any external torque. A flying bug of mass 15g lands vertically on the disk at a point half way to the center and stick to it. Find the angular speed of the disk just after the collision.
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