1. You hold a 4.0-kg computer. part A) Determine the magnitude of the torque exerted on...

1. You hold a 4.0-kg computer.

part A)

Determine the magnitude of the torque exerted on your forearm about the elbow joint caused by the downward force exerted by the computer on the forearm. Let the distance between the center of mass of the computer and your elbow joint be 0.25 m. Ignore the mass of the arm.

part B)

Determine the magnitude of the torque exerted on your forearm about the elbow joint caused by the upward 340-N force exerted by the biceps muscle on the forearm. Let the biceps muscle be 0.030 m (about 3.0 cm) from the joint.

2. You hang a light in front of your house using an elaborate system to keep the 12-kg object in static equilibrium (Figure 1) . What are the magnitudes of the forces that the ropes must exert on the knot connecting the three ropes if θ2 = 63∘ and θ3 = 45∘?

part A) Determine the magnitude of the force that rope 1 must exert on the knot

part B) Determine the magnitude of the force that rope 2 must exert on the knot.

part C) Determine the magnitude of the force that rope 3 must exert on the knot.

3. A tightrope walker wonders if her rope is safe. Her mass is 60 kg and the length of the rope is about 20 m. The rope will break if its tension exceeds 4300 N.

What is the smallest angle at which the rope can bend up from the horizontal on either side of her to avoid breaking?

4. The fulcrum of a uniform 20-kg seesaw that is 4.0 m long is located 2.5 m from one end. A 38-kgchild sits on the long end. Determine the mass a person at the other end would have to be in order to balance the seesaw.

5. A board of mass m and length l is placed on a horizontal tabletop. The coefficient of static friction between the board and the table is μ. How far from the edge of the tabletop can one extend the board before it falls off?

Solutions

Expert Solution

genius_generous answered 1 year ago

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