A block rests on a frictionless surface and is attached to the end of a spring.  The other end of the spring is attached to a wall.  The springs are stretched to the right by the distances shown in the figures and then released from rest.  The blocks oscillate back and forth. Rank the frequency of the oscillatory motion of the block.

An automotive engine can be approximated asa 0.4-m-high, 0.60-m-wide, and 0.7-m-long rectangularblock. The bottom surface of the block is at a temperatureof 75°C and has an emissivity of 0.92. The ambient airis at 5°C, and the road surface is at 10°C. Determine therate of heat transfer from the bottom surface of the engineblock by convection and radiation as the car travels at avelocity of 60 km/h. Assume the flow to be turbulent over theentire surface because of the constant agitation of the engineblock. How will the heat transfer be affected when a 2-mmthickgunk (k = 3 W/m?K) has formed at the bottom surface asa result of the dirt and oil collected at that surface over time?Assume the metal temperature under the gunk still to be 75°C.

An inertial balance provides a way to measure the mass of an object based on oscillation without using earth’s gravity.  Assume the inertial balance behaves like a SHM spring and mass system and has a spring constant of 100 N/m.  A mass is placed on the balance and oscillates with a frequency of 37 Hz. Determine the mass of the object.

Find the new amplitude of oscillations of the block plus putty VA . A block of mass M attached to a spring of constant k, oscillates back and forth with amplitude A. At the instant shown, the block is at its maximum amplitude and a lump of putty of mass m is dropped from a small height sticking to the block. The mass of the spring is negligible and Putty Equilibrium Position the surface on which M moves is frictionless. M Find the new amplitude of oscillations of the block plus putty system. What is the new frequency of oscillations?