1.8: Chapter 1 Homework Problems

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Exercise \(\PageIndex{1}\)

A pulley system is being used to hoist a 50 kg engine block as shown below. If distance \(d\) is currently 1 meter and we assume the pulleys are all frictionless, draw a free body diagram of the engine block with the attached pulley. Include all forces and important angles.

Illustration of a cable with one fixed end and one end passing through a pulley, being used to raise an engine block. — Figure \(\PageIndex{1}\): problem diagram for Exercise \(\PageIndex{1}\); an engine block is suspended by a cable with one end attached to an anchor point and the other end passing over a pulley.

Exercise \(\PageIndex{2}\)

The car shown below has a weight of 4500 lbs and a center of mass at point G. Assuming the car is not moving and is sitting on a level surface, draw a free body diagram of the car. Include all forces and important distances.

Illustration of a car at rest on a flat surface, with the location of its center of mass marked. — Figure \(\PageIndex{2}\): problem diagram for Exercise \(\PageIndex{2}\); a car sitting on a level surface is marked with a point G indicating the location of its center of mass.

Exercise \(\PageIndex{3}\)

A telephone pole sits on a rough surface. A cable attached to an excavator is then used to pull the pole along the surface as shown below. Assume the telephone pole has a mass of 350 kg and a length of 12 meters. Draw a free body diagram of the telephone pole. Include all forces, important distances, and important angles.

Illustration of a cable with one end attached to an excavator, pulled taut at 30 degrees above the horizontal, and the other end attached to a telephone pole raised at 5 degrees above the horizontal ground. — Figure \(\PageIndex{3}\): problem diagram for Exercise \(\PageIndex{3}\); an excavator pulls a telephone pole across the ground at an angle, through the use of a cable.