Exam 12: Static Equilibrium and Elasticity

When a certain truck stands on a level roadway, its front wheels support 1.11 kN, and its rear wheels support 18.9 kN. If the front and rear axles are 3.66 m apart, the horizontal distance between the rear axle and the center of gravity of the truck is approximately

Use the following to answer question : -The horizontal boom supporting the sign is of uniform construction and weighs 50 N. If the sign weighs 150 N, the angle between the force exerted by the hinge on the boom and the boom is

The magnitude of the resultant couple acting on the rectangular plate is

The sign shown in the figure weighs 200 N. The boom is of uniform construction. If the force exerted by the hinge on the boom is 300 N and acts at an angle of 20º above the horizontal, the tension in the tie cable is

The configuration(s) that is/are in unstable equilibrium is/are

For a rigid body to remain in equilibrium it is necessary and sufficient that

A ball of radius r and mass m is hung using a light string of length L from a frictionless vertical wall. The normal force on the ball due to the wall is

An 800-kg mass is hung from a 2-m steel wire with a cross-sectional area of 0.25 cm². Young's modulus for steel is 2.0 $\times$ 10¹¹ N/m². How much does the wire stretch?

A 10-m long plank (of negligible mass) is supported at each end by vertical cables, also of negligible mass. A person of unknown weight sits on the plank between the cables. The tension in the left cable is 300 N, and in the right cable it is 200 N. The person's weight is

The bulk modulus of water is 2.0 $\times$ 10⁹ N/m². By how much must the pressure be increased to reduce the volume of 1.0 kg of water from 1.00 to 0.998 L?

Young's modulus Y has units of

Use the following to answer question : -The horizontal boom supporting the sign is of uniform construction and weighs 50 N. If the sign weighs 150 N, the tension in the supporting cable is

Two wires, A and B, have the same initial length, but the radius of A is four times that of B, and the Young's modulus of A is a third that of B. If the same weight is attached to both wires, what is the ratio of the extension of A divided by the extension of B?

Two unequal, antiparallel forces

The configuration that is in neutral equilibrium is

Use the following to answer question : -The point that identifies the fracture point of the material whose graph of stress as a function of strain is shown below is

A ladder is extended to a length of 8 m. It rests against a smooth frictionless vertical wall at an angle of 55 degrees to the horizontal. The ladder has a mass of 30 kg, and its center of mass is three-eighths of the way up the ladder from the floor. Calculate the magnitude of the resultant of the horizontal and vertical forces at the bottom of the ladder and the floor.

The boom in the figure is uniform and weighs 2.20 kN. The magnitude of the force exerted on the boom by the hinge is

A heavy block is supported by three lines as shown. Which of the following statements is true in its entirety?

A ladder is extended to a length of 8 m. It rests against a smooth frictionless vertical wall at an angle of 55 degrees to the horizontal. The ladder has a mass of 30 kg, and its center of mass is three-eighths of the way up the ladder from the floor. If the coefficient of static friction between the ladder and the floor is 0.2, calculate how far a man of 80 kg can stand along the ladder without it slipping away at the floor.