Exam 10: Elasticity and Oscillations

A mass is suspended vertically from a spring so it is at rest at the equilibrium position. The mass is pulled a short distance straight down and released so that it oscillates about the equilibrium position. The acceleration of the mass is zero when the mass is

A disk is suspended by a nail such that it pivots in a vertical plane about a point on the edge of the disk. If the disk's radius is 25 cm, what is the period of oscillation?

A 1.0 kg mass is connected to a spring with a spring constant of 9.0 N/m. If the initial velocity is 4.0 cm/s and the initial displacement is 2.0 cm, then what is the maximum kinetic energy of the mass?

A block on a frictionless, horizontal surface is attached to a spring that requires 125 N of force for the block to be stretched 15 cm away from equilibrium. From this position the block is released, and it begins to oscillate with a period of 0.25 s. What is the mass of the block?

A 120 N picture hangs from a nail in the wall. The maximum shear stress the nail can sustain is 1.00 × 10⁶ N/m². The smallest diameter the nail can be is

A wire has a strain of 0.10%. If the wire has an unstretched length of 5.00 m, then the change in length of the wire is

A cable has a strain of 2.0 × 10^-3. If the unstretched length of the cable is 24.0 m, then the change in length of the cable is

A cube of aluminum is at a depth of 1.00 km under water whose density is 1,000 kg/m³. Atmospheric pressure is 101.3 kPa. What is the volume stress on the cube? Use g = 9.80 m/s².

A block on a frictionless, horizontal surface is attached to one end of a spring that is also attached to the wall on the opposite end. When stretched away from equilibrium by 15 cm and released, the block oscillates with a period of 0.25 s. If the mass of the block is 15 kg, what force was required to stretch the spring by the initial 15 cm?

When the position of a simple harmonic oscillator is equal to A/2, where A is the amplitude, the kinetic energy is