Astretched string of length l is plucked at a position l/3 by producing an initial displacement h and then releasing the string. determine the resulting amplitudes for the fundamental and the first three harmonic overtones. sketch the wave shapes of these individual waves and the shape of the string resulting from the linear combination of these waves at t = 0. repeat for t = l/c, where c is the transverse wave speed on the string.

Amass of 1.5 kg of air at 120 kpa and 24°c is contained in a gas-tight, frictionless piston-cylinder device. the air is now compressed to a final pressure of 720 kpa. during the process, heat is transferred from the air such that the temperature inside the cylinder remains constant. calculate the boundary work input during this process.

The temperature of air decreases as it is compressed by an adiabatic compressor. a)- true b)- false

Afour cylinder four-stroke in-line engine has a stroke of 160mm, connecting rod length of 150mm, a reciprocating mass of 3kg and its firing order is 1-3-4-2. the spacing between cylinders is 100mm. i. show that the engine is in balance with regard to the primary inertia forces and primary 3. a and secondary inertia couples. li determine the out of balance secondary inertia force ii. propose ways of balancing this out of balance force and discuss the challenges that will arise