Physics Fundamentals
Physics Fundamentals
2nd Edition
ISBN: 9780971313453
Author: Vincent P. Coletta
Publisher: PHYSICS CURRICULUM+INSTRUCT.INC.
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Chapter 7, Problem 22P
To determine

Calculate the work done by the force lifting the ladder.

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We can model a pine tree in the forest as having a compact canopy at the top of a relatively bare trunk. Wind blowing on the top of the tree exerts a horizontal force, and thus a torque that can topple the tree if there is no opposing torque. Suppose a tree’s canopy presents an area of 9.0 m2 to the wind centered at a height of 7.0 m above the ground. (These are reasonable values for forest trees.) If the wind blows at 6.5 m/s: a. What is the magnitude of the drag force of the wind on the canopy? Assume a drag coefficient of 0.50.b. What torque does this force exert on the tree, measured about the point where the trunk meets the ground?
Problems 7.42 and 7.43 The driveway gate is hinged at its right end and can swing freely in the horizontal plane The gate is pushed open by the force P that always acts perpendicular to the plane of the gate at point A. which is a horizontal distance d from the gate hinge. The weight of the gate is W = 215 lb, and its mass center is at G, which is a distance w/2 from each end of the gate, where w = 16 ft. Assume that the gate is initially at rest, and model the gate as a uniform thin bar as shown below the photo. hinge line /2 Problem 7.42i Given that a force of P gate (i.e., d = w/2), determine the reactions at the hinge O after the force P has heen continuously applied for 2 s. 20 lb is applied at the center of mass of the Problem 7.43 Given that a
A 15,000 N crane can rotate around a frictionless shaft at its base and is supported by a cable that forms a 25-degree angle with the crane (see figure). The crane has16 m long and not uniform; its center of gravity is 7.0 m from the shaft measured along the crane. The cable is subject to 3.0 m from the top end of the crane. The crane rises to55o above the horizontal, holding a container with 11,000 N bricks by a very light rope of 2.2 m. Calculate a) the tension on the cable and b) the vertical and horizontal components of the force exerted by the shaft on the crane. Start by drawing a free body diagram of the crane.

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