EBK PHYSICS FOR SCIENTISTS AND ENGINEER
10th Edition
ISBN: 8220106906149
Author: Jewett
Publisher: Cengage Learning US
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Chapter 2, Problem 42CP
Two thin rods are fastened to the inside of a circular ring as shown in Figure P2.42. One rod of length D is vertical, and the other of length L makes an angle θ with the horizontal. The two rods and the ring lie in a vertical plane. Two small beads are free to slide without friction along the rods. (a) If the two beads are released from rest simultaneously from the positions shown, use your intuition and guess which bead reaches the bottom first. (b) Find an expression for the time interval required for the red head to fall from point Ⓐ to point Ⓒ in terms of g and D. (c) Find an expression for the time interval required for the blue bead to slide from point Ⓑ to point Ⓒ in terms of g, L, and θ. (d) Show that the two time intervals found in parts (b) and (c) are equal. Hint: What is the angle between the chords of the circle Ⓐ Ⓑ and Ⓑ Ⓒ? (e) Do these results surprise you? Was your intuitive guess in part (a) correct? This problem was inspired by an article by Thomas B. Greenslade, Jr., “Galileo’s Paradox,” Phys. Teach. 46, 294 (May 2008).
Figure P2.42
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Chapter 2 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
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Ch. 2 - An athlete leaves one end of a pool of length L at...Ch. 2 - A positiontime graph for a particle moving along...Ch. 2 - A car travels along a straight line at a constant...Ch. 2 - A person takes a trip, driving with a constant...Ch. 2 - A child rolls a marble on a bent track that is 100...Ch. 2 - Figure P2.9 shows a graph of vx versus t for the...Ch. 2 - (a) Use the data in Problem 3 to construct a...Ch. 2 - A particle starts from rest and accelerates as...Ch. 2 - Draw motion diagrams for (a) an object moving to...Ch. 2 - Each of the strobe photographs (a), (b), and (c)...Ch. 2 - An electron in a cathode-ray tube accelerates...Ch. 2 - A parcel of air moving in a straight tube with a...Ch. 2 - In Example 2.7, we investigated a jet landing on...Ch. 2 - An object moving with uniform acceleration has a...Ch. 2 - Solve Example 2.8 by a graphical method. On the...Ch. 2 - A glider of length moves through a stationary...Ch. 2 - Why is the following situation impossible?...Ch. 2 - A glider of length 12.4 cm moves on an air track...Ch. 2 - In the particle under constant acceleration model,...Ch. 2 - At t = 0, one toy car is set rolling on a straight...Ch. 2 - You are observing the poles along the side of the...Ch. 2 - Why is the following situation impossible? Emily...Ch. 2 - An attacker at the base of a castle wall 3.65 m...Ch. 2 - The height of a helicopter above the ground is...Ch. 2 - A ball is thrown upward from the ground with an...Ch. 2 - A student throws a set of keys vertically upward...Ch. 2 - At time t = 0, a student throws a set of keys...Ch. 2 - You have been hired by the prosecuting attorney as...Ch. 2 - A student drives a moped along a straight road as...Ch. 2 - Automotive engineers refer to the time rate of...Ch. 2 - In Figure 2.11b, the area under the velocitytime...Ch. 2 - The froghopper Philaenus spumarius is supposedly...Ch. 2 - A woman is reported to have fallen 144 ft from the...Ch. 2 - At t = 0, one athlete in a race running on a long,...Ch. 2 - Why is the following situation impossible? A...Ch. 2 - Hannah tests her new sports car by racing with...Ch. 2 - Two objects, A and B, are connected by hinges to a...Ch. 2 - Lisa rushes down onto a subway platform to find...Ch. 2 - Two thin rods are fastened to the inside of a...Ch. 2 - In a womens 100-m race, accelerating uniformly,...
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