Working with stress, strain and Hooke's Law.

An 1800 kg car, being lifted at a steady speed by a crane, hangs at the end of a cable whose radius is 6.0 * 10^-3 m. The cable is 15m in length and stretches by 8.0 *10^-3 m because of the weight of the car. Find: (a) the stress (b) the strain (c) Young's modulus for the cable

Hooke's Law : Working with strain and stress using a spider and its thread.

A 1.0 * 10^-3 kg spider is hanging vertically by a thread that has a Young's modulus of 4.5 *10^9 N/m^2 and a radius of 13 * 10^-6 m. Suppose that a 95 kg person is hanging vertically on an aluminum wire. What is the radius of the wire that would exhibit the same strain as the spider's thread, when the thread is stressed by the full weight of the spider?

Calculating the pressure exerted on an underwater vehicle.

The Mariana trench is located in the Pacific Ocean at a depth of about 11,000m below the surface of the water. The density of seawater is 1025 kg/m^3 (a) If an underwater vehicle were to explore such a depth, what force would the water exert on the vehicle's observation window (radius = 0.10m)? (b) For comparison, determine the weight of a jetliner whose mass is 1.2 * 10^5 kg

Energy and simple harmonic motion : Calculating the angular frequency that an object would oscillate.

A Spring is compressed by 0.0800m and is used to launch an object horizontally with a speed of 2.40m/s. If the object were attached to the spring, at what angular frequency (in rad/s) would it oscillate?

Working with strain and stress using a spider and its thread.

A 1.0x10^-3 kg spider is hanging vertically by a thread that has a Young's modulus of 4.5x10^9 N/m^2 and a radius of 13x 10^-6. Suppose that a 95 kg person is hanging vertically on an aluminum wire. What is the radius of the wire that would exhibit the same strain as the spider's thread, when the thread is stressed by the full weight of the spider?