Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 9, Problem 22P
To determine
To Explain: The center of gravity of an arbitrarily shaped flat object when that object and plumb line both are suspended from a same point
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Part C - The z Component of the Center of Gravity of All the Components
- 0.550 m, and z3 = 0.200 m, determine the z
If the heights of the components are given as z1 = 2.00 m, 22 =
component of the center of gravity of all the components.
Express your answer to three significant figures and include the appropriate units.
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HA
?
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Three identical coins lie on three corners of a square a = 11.0 cm on a side, as shown in (Figure 1). Determine the x coordinate of the center of gravity of the three coins. Express your answer with the appropriate units. Determine the y coordinate of the center of gravity of the three coins. Express your answer with the appropriate units.
Q5- Choose the correct coordinates of the centre of gravity of the following tetrahedron which has density rho(x, y, z) = x ^ 2 * y * z and is bounded by the line x + 2y = 6 and the plane x + 2y + 3z = 6 as shown below.
Chapter 9 Solutions
Physics for Scientists and Engineers
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- Children playing pirates have suspended a uniform wooden plank with mass 15.0 kg and length 2.50 m as shown in Figure P14.27. What is the tension in each of the three ropes when Sophia, with a mass of 23.0 kg, is made to walk the plank and is 1.50 m from reaching the end of the plank? FIGURE P14.27arrow_forwardA 215-kg robotic arm at an assembly plant is extended horizontally (Fig. P14.32). The massless support rope attached at point B makes an angle of 15.0 with the horizontal, and the center of mass of the arm is at point C. a. What is the tension in the support rope? b. What are the magnitude and direction of the force exerted by the hinge A on the robotic arm to keep the arm in the horizontal position? FIGURE P14.32arrow_forward(a) When opening a door, you push on it perpendicularly with a force of 55.0 N at a distance of 0.850 m from the hinges. What torque are you exerting relative to the hinges? (b) Does it matter if you push at the same height as the hinges? There is only one pair of hinges.arrow_forward
- (a) Calculate the angular momentum of Earth in its orbit around the Sun. (b) Compare this angular momentum with the angular momentum of Earth about its axis.arrow_forwardA plank with a mass M = 6.00 kg rests on top of two identical, solid, cylindrical rollers that have R = 5.00 cm and m = 2.00 kg (Fig. P10.87). The plank is pulled by a constant horizontal force F of magnitude 6.00 N applied to the end of the plank and perpendicular to the axes of the cylinders (which are parallel). The cylinders roll without slipping on a Hat surface. There is also no slipping between the cylinders and the plank. (a) Find the initial acceleration of the plank at the moment the rollers are equidistant from the ends of the plank. (b) Find the acceleration of the rollers at this moment. (c) What friction forces are acting at this moment?arrow_forwardThe centers of gravity of the three trucks parked on a hill are shown by the star. Which truck will tip over? C None of them. A Barrow_forward
- 0.15 m o15 m PROBLEM 4.3 The gardener of Problem 4.2 wishes to transport a second 250-N bag of fertilizer at the same time as the first one. Determine the maximum allowable horizontal distance from the axle A of the 250 N wheelbarrow to the center of gravity of the second bag if she can hold only 75 N with each arm. 60 N PROBLEM 4.2 A gardener uses a 60-N wheelbarrow to transport a 250-N bag of fertilizer. What force must she exert on each handle? -00.7 H 0.15 m 0.15 marrow_forwardEX: Find the coordinates of the center of gravity M(xYM) of the planar wire, which is homogeneous and has a fixed cross section. 0 = 60Ā°, L = 3 m and the radius of the semicircular arc-shaped wire r= 2 m. %3Darrow_forwardA double-decker London bus (Figure 1) might be in danger of rolling over in a highway accident, but at the low speeds of its urban environment, it's plenty stable. The track width is 2.05 m. With no passengers, the height of the center of gravity is 1.45 m, rising to 1.73 m when the bus is loaded to capacity. What is the critical angle for the unloaded bus? What is the critical angle for the loaded bus?arrow_forward
- A 1.15 m thin brass rod is bent in half to form a right-angled L, as shown in figure 1. The corner of the L is located at the origin. The rod has a mass per unit length of 440 g/m. Figure 1 a b Figure 2 Find the center of gravity (c.g.) for this geometry. Give the answer in vector notation, &c.g.. Å c.g. mĆ® + A different rod with the same mass per unit length, 440 g/m, is bent into an asymmetric Z shape as shown in figure 2. If a = 1.45 m, b = 0.305 m, and c = 0.585 m, what is the c.g. for this geometry? Å c.g. mi + mĵ m ĵarrow_forwardWhere is the center of gravity of a doughnut? Explain.arrow_forwardIf you are having trouble opening a stuck jar lid, you can use a rubber pad to help you grip the lid and twist. Explain the purpose of the rubber pad and how it helps you to unscrew the lid. (Assume that the rubber pad has negligible thickness, i.e. it will not increase the radius of the jar a. lid.) b. In Case A, a ball is released from rest at the top of a frictionless hill of height h. In Case B, an identical ball is released from rest at the top of a hill of height h with sufficient friction that the ball can roll without slipping. In which case does the center of mass of the ball have a larger speed at the bottom of the hill or is it the same in both cases? Explain.arrow_forward
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