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1. A man applies a force of F = 3.00 102 N at an angle of 60.0° to a door, x = 2.20 m from the hinges. Find the torque on the door, choosing the position of the hinges as the axis of rotation.
2. Suppose a wedge is placed 1.50 m from the hinges on the other side of the door. What minimum force must the wedge exert so that the force applied in part (a) won't open the door?
3. A man ties one end of a strong rope 7.64 m long to the bumper of his truck, 0.596 m from the ground, and the other end to a vertical tree trunk at a height of 3.65 m. He uses the truck to create a tension of8.05 102 N in the rope. Compute the magnitude of the torque on the tree due to the tension in the rope, with the base of the tree acting as the reference point.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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