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 th ...continues

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 t ...continues

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 ...continues

Calculating the net torque using Newton's second law and rotational motion about a fixed axis.

The blades of a ceiling fan have a total movement of inertia of 0.16kg x m^2 and an angular acceleration of 7.0rad/s^2. What net torque is being applied to the blades?

Harmonic motion : Calculating period, frequency and angular frequency

The fan blades of a jet engine make one thousand revolutions in a time of 50.0 ms. Determine (a) The period in seconds and (b) The frequency in Hz of the rotational motion (c) What is the angular frequency of the blade?

center of gravity

A lunch tray is being held in one hand. The mass of the tray itself is .200 kg, and its center of gravity is located at its geometrical center. on the tray is a 1.00 kg plate of food and a .250kg cup of coffee. obtain the force T exerted by the thumb and force F exerted by the four fingers. Both forces act perpendicular to the t ...continues

Using relativity to determine time in different frames of reference.

A rocket moves toward a mirror at 0.800c relative to the reference frame S. The mirror is stationary relative to S. A light pulse emitted by the rocket travels toward the mirror and is reflected back to the rocket. The front of the rocket is 1.8E12 m from the mirror (as measured from S) at the moment the light pulse leaves the r ...continues

Working with linear superposition.

The sound produced by the loudspeaker has a frequency of 12 000 Hz and arrives at the microphone via two different paths. The sound travels through the left tube LXM, which has a fixed length. Simultaneously, the sound travels through the right tube LYM, the length of which can be changed by moving the slide selection. At M, ...continues