Mechanics | Relativity Answers

5. In a materials testing laboratory, a metal wire made from a new alloy is found to break when a tensile force of 90.8 N is applied perpendicular to each end. If the diameter of the wire is 1.84 mm, what is the breaking stress of the alloy?

4. A nylon rope used by mountaineers elongates 1.10 m under the weight of a 65.0-kg climber. If the rope is 45.0 m in length and 7.0 mm in diameter, what is Young's modulus for nylon?

3. A circular steel wire 2.00 m long must stretch no more than 0.25 cm when a tensile force of 400 N is applied to each end of the wire. What minimum diameter is required for the wire?

1. A 0.120-kg, 50.0-cm-long uniform bar has a small 0.055-kg mass glued to its left end and a small 0.110-kg mass glued to the other end. The two small masses can each be treated as point masses. You want to balance this system horizontally on a fulcrum placed just under its center of gravity. How far from the left end should the fulcrum be placed?

A large turntable rotates about a fixed vertical axis (hum1200 kg/m²) making 1 revolution in 6.0 s. A 40-kg student initially standing at the center of the turntable, nuns out along a radius. What is the angular speed of the turntable when he is 2.0m from the center?

A hollow, spherical shell with mass 2.00 kg rolls without slipping down at 38.0 slope. Find the acceleration, the friction force, and the minimum coefficient of friction needed to prevent slipping

A fan blade is initially rotating an angular speed of 4.6 rpm. It slows down and eventually comes to rest in a time of 32 seconds after turning through a total of 8.8 revolutions. Find

a) the angular speed in rad/s

b) the average angular velocity and

c) the average angular acceleration of the fan blade.

Box of mass 20 kilograms is kept on a smooth horizontal surface. Object of mass 16 kilograms is kept on the box. The two objects are connected by a light in extensible string and the string goes over smooth Pulley. A force of 6 Newton is applied on the box, the acceleration of the box?

How much work must be done to a proton to accelerate it from rest to 0.998c.

Find the approximate angle between vectors: 𝐒 = (2, 3, 5) and 𝐓⃗ = (1, 6, -4).