Suppose a 6-m cylindrical bar has a constant density of 2 g/cm for its left half and a constant density 6 g/cm for its right half. What is its mass?

Concept 1- Free Body Diagrams (P1) Draw the free body digrams for the bodies shown below. In each case, neglect the mass of the bodies. SON 02 m-02 m-02 m- 500 N 4 m 30 3 m

2. A uniform 7 m long table surface with a mass of 20 kg sits on two table legs A and B as shown in Figure below. Three (3) stack of books X, Y and Z were placed in different positions with respective masses of 2 kg, 4 kg and 3 kg per stack. Calculate the forces acting on the table legs A and B. (Given gravitational acceleration, g = 10 m/s-2) (138.6 N, 151.4 N) 1.0 m 3.0 m 2.0 m 1.0 m X Y A

When a motor is set on a pivoted mount seen below, its weight can be used to maintain tension in the drive belt. When the motor is not running the tensions T, and T2 are equal. The total mass of the platform and the motor is 117.0 kg, and the diameter of the drive belt pulley is 10.0 cm. When the motor is off, find the following. Assume that the center of mass of the motor plus platform is at the center of the motor. T1 40° T2 15° 25 cm C 30 сm (a) the tension in the belt (in N) (b) the force at the hinged platform support at point C (Enter the magnitude in newtons and direction in degrees counterclockwise from the +x-axis. Assume the +x-axis is to the right.) magnitude N direction counterclockwise from the +x-axis

3. What does it mean when we say a body is homogeneous?

1. A gas is confined in a 3.98ft diameter cylinder by a piston, on which rests a weight. The mass of the piston 7.25lbm and weights is 270lbm. (a) What is the force in lbf exerted on the gas by the atmosphere, the piston, and the weight, assuming no friction between the piston and cylinder? (b) What is the pressure of the gas in psia? (c) If the gas in the cylinder is heated, it expands, pushing the piston and weight upward. If the piston and weight are raised 2.2ft, what is the work done by the gas in ft-lbf? What is the change in potential energy of the piston and weight?

Two masses are fixed at 79 degrees to each other on a rotating disc, one is 3.2 kg at a radius of 130mm and the other is 4.6 kg at a radius of 162 mm. Find the position to fix a 7.5 kg mass to balance all of the centrifugal forces.

A passenger is standing on a scale in an elevator. The building has a height of 500 feet, the passenger has a mass of 80 kg, and the scale has a mass of 7 kg. The scale sits on the floor of the elevator. (It is an Otis elevator, so we will label it as "O" so as not to confuse its forces with those caused by the earth.) You may take g = 10 N/kg. For doing this problem it might be useful to start by drawing free-body diagrams for the passenger and the scale.Consider the vertical forces acting on the passenger and the scale WE→P: The force of the earth pulling down on the passenger (weight). WE→S: The force of the earth pulling down on the scale (weight). NP→S: The force of the passenger pushing down on the scale (normal). NS→P: The force of the scale pushing up on the passenger (normal). NO→S: The force of the elevator pushing up on the scale (normal). NO→P: The force of the elevator pushing up on the passenger (normal) a) While it is accelerating downward, which of the forces in your…

Brake pedals in cars 1 When you step on the brakes, you are compressing a narrow piston (radius 2 cm), creating pressure in a closed system. Mechanical advantage is gained by having the fluid in-turn compress a larger piston (radius 10 cm). If you apply a force of 20 N to the small piston, what is the force delivered to the large piston? If the small piston compresses by a distance of 5 cm, how much does the large cylinder move by? www.explainthatstuff.com 2 3 67 40₁0 8

A piece of gold weighing 700 grams in the air weighs 600 grams when immersed in glycerine whose specific gravity is 1.25. Find the volume of the cavity inside the gold.