Chapter 03 Equilibrium- 2D Exercise

Exercise •

With what force magnitude T must the  person pull on the cable in order to cause the scale  A to read 2000 N? The weights of the pulleys and cables are negligible. State any assumptions.

Exercise •

To facilitate shifting the position of a lifting hook when it is not under load, the sliding hanger shown is used. The projections at  A and B engage the flanges of a box beam when a load is supported, and the hook projects through a horizontal slot in the beam. Compute the

forces at  A and B when the hook supports a 300kg mass.

Exercise •

Three cables are  joined at the junction ring C. Determine the tensions in cables  AC and BC caused by the weight of the 30-kg cylinder.

Exercise •

Determine the reactions at A and E if P = 500 N. What is the maximum value which P may have  for static equilibrium? Neglect the weight of the structure compared with the applied loads.

Exercise •

The indicated location of the center of mass of the 1600-kg pickup truck is for the unladen condition. If a load whose center of mass is x = 400 mm behind the rear axle is added to the truck, determine the mass mL for which the normal forces under the front and rear wheels are equal.

Exercise •

The elements of an exerted on the handle on-off mechanism for at A?  a table lamp are shown in the figure. The electrical switch S requires a 4-N force in order to depress it. What corresponding force F must be

Exercise •

A person attempts to move a 20-kg shop vacuum by pulling on the hose as indicated. What force F   will cause the unit to tip clockwise if wheel A is against an obstruction?

Exercise •

Estimate the force F required to lift the rear tires of the race car off the ground. You may assume that part of CD of the dolly jack is horizontal. The mass of the car and the driver combined is 700 kg with mass center at G. The driver applies the brakes during the  jacking. State any additional assumptions.

Exercise •

The member OBC and sheave at C together have a mass of 500 kg, with a combined center of mass at G. Calculate the magnitude of the force supported by the pin connection at O when the 3-kN load is applied. The collar at A can provide support in the horizontal direction only.

Exercise •

The man pushes the lawn mower at a steady speed with a force P which is parallel to the incline. The mass of the mower with attached grass bag is 50 kg with mass center at G. If 15, determine the normal forces NB and NC under each pair of wheels B and C. Neglect friction. Compare with the normal forces for the conditions of 0 and P 0.