Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337671729
Author: SERWAY
Publisher: Cengage
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Chapter 15, Problem 43AP
To determine
The time you will have to relax at each location before you have to move the post roller to a new location.
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A solid sphere, made of acrylic plastic with a density of 1.1 g/cm3,1.1 g/cm3, has a radius of 5.0 cm.5.0 cm. A very small "eyelet" is screwed into the surface of the sphere and a horizontal support rod is passed through the eyelet, allowing the sphere to pivot around this fixed axis, as shown in the figure. If the sphere is displaced slightly from equilibrium on the surface of Earth, determine the period ?T of its harmonic motion when it is released.
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Chapter 15 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 15.1 - A block on the end of a spring is pulled to...Ch. 15.2 - Consider a graphical representation (Fig. 15.3) of...Ch. 15.2 - shows two curves representing particles undergoing...Ch. 15.2 - An object of mass m is hung from a spring and set...Ch. 15.4 - The ball in Figure 15.13 moves in a circle of...Ch. 15.5 - The grandfather clock in the opening storyline...Ch. 15 - A 0.60-kg block attached to a spring with force...Ch. 15 - A piston in a gasoline engine is in simple...Ch. 15 - The position of a particle is given by the...Ch. 15 - Prob. 4P
Ch. 15 - Review. A particle moves along the x axis. It is...Ch. 15 - Prob. 6PCh. 15 - A particle moving along the x axis in simple...Ch. 15 - The initial position, velocity, and acceleration...Ch. 15 - You attach an object to the bottom end of a...Ch. 15 - Prob. 10PCh. 15 - Prob. 11PCh. 15 - Prob. 12PCh. 15 - A simple harmonic oscillator of amplitude A has a...Ch. 15 - Review. A 65.0-kg bungee jumper steps off a bridge...Ch. 15 - Review. A 0.250-kg block resting on a...Ch. 15 - While driving behind a car traveling at 3.00 m/s,...Ch. 15 - A simple pendulum makes 120 complete oscillations...Ch. 15 - A particle of mass m slides without friction...Ch. 15 - A physical pendulum in the form of a planar object...Ch. 15 - Prob. 20PCh. 15 - Prob. 21PCh. 15 - Consider the physical pendulum of Figure 15.16....Ch. 15 - A watch balance wheel (Fig. P15.25) has a period...Ch. 15 - Show that the time rate of change of mechanical...Ch. 15 - Show that Equation 15.32 is a solution of Equation...Ch. 15 - Prob. 26PCh. 15 - Prob. 27PCh. 15 - Considering an undamped, forced oscillator (b =...Ch. 15 - Prob. 29PCh. 15 - Prob. 30PCh. 15 - An object of mass m moves in simple harmonic...Ch. 15 - Prob. 32APCh. 15 - An object attached to a spring vibrates with...Ch. 15 - Prob. 34APCh. 15 - A pendulum of length L and mass M has a spring of...Ch. 15 - Prob. 36APCh. 15 - Review. A particle of mass 4.00 kg is attached to...Ch. 15 - Prob. 38APCh. 15 - Prob. 39APCh. 15 - Prob. 40APCh. 15 - Review. A lobstermans buoy is a solid wooden...Ch. 15 - Prob. 42APCh. 15 - Prob. 43APCh. 15 - Prob. 44APCh. 15 - A block of mass m is connected to two springs of...Ch. 15 - Review. A light balloon filled with helium of...Ch. 15 - A particle with a mass of 0.500 kg is attached to...Ch. 15 - A smaller disk of radius r and mass m is attached...Ch. 15 - Prob. 49CPCh. 15 - Prob. 50CPCh. 15 - A light, cubical container of volume a3 is...
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- A disk rolls up an inclined plane as shown in Figure P12.16, reaches point A, stops there momentarily, and then rolls down the inclined plane. Use the coordinate system shown to determine the direction of the angular velocity and the angular acceleration in each part of the motion as given below. If either one is zero, say so. Explain your answers. a. When the disk is going up the incline. b. At point A when the disk stops momentarily. c. When the disk is rolling down the incline FIGURE P12.16arrow_forwardA parent exerts a torque on a merry-go-round at a park. The torque has a magnitude given by =322+120145, where the torque has units of newton meters when is in units of radians. a. How much work is performed by the torque as the merry-go-round rotates through 1.75 revolutions, beginning at i=0? b. If it takes the merry-go-round 4.51 s to go through the 1.75 revolutions, what is the power transferred by the parent to the ride?arrow_forwardFigure P12.87 move? Justify your answer... 87. A 40-kg sharpening wheel of radius 0.10 m is rotating at 3.3 revolutions per second. An axe is pressed against the rim with a force F directed as shown in Figure P12.87 so that it takes the wheel 10 seconds to come to a halt when there is no power driving the wheel. Treat the wheel as a disk, and assume a coefficient of kinetic friction between the wheel and the axe blade of k = 0.35. Find the value of F... aucle wheel is Figure P12.88arrow_forward
- A doctor opens a 1.15 m wide door by pushing on it with a force of 45.5 N directed perpendicular to its surface. a What magnitude torque (in N · m) does she apply about an axis through the hinges if the force is applied at the center of the door? (b) What magnitude torque (in N · m) does she apply at the edge farthest from the hinges?arrow_forwardThe answer to this is 365 mm above G and 227 mm to the right of G. How do I get to that answer?arrow_forwardA solid 1.5 in. diameter shaft is used to synchronize multiple mechanisms in a manufacturing plant. The torque delivered by the shaft is 3500 lb-in. What horsepower must be delivered to the shaft to maintain a shaft speed of 670 rpm? What is the maximum shear stress developed in the shaft? Calculate the maximum shear stress in the shaft. T = i psiarrow_forward
- A one-piece cylinder is shaped as shown in Figure below, with a core section protruding from the larger drum. The cylinder is free to rotate around the central axis shown in the drawing. A rope wrapped around the drum, which has a radius R1=1.0 m, exerts a force F1=5.0 N to the right on the cylinder. A rope wrapped around the core, which has a radius R2=0.50 m, exerts a force F2=15.0 N downward on the cylinder. What is the net torque acting on the cylinder about the rotation axis (which is the z axis in the Figure)Answer: 2.5 N.marrow_forwardthanks!arrow_forwardPlease answer the question correctlyarrow_forward
- A turntable with a mass of 12 kg and a radius of 1.8 meters spins at a constant angular velocity of 140 rpm. A 3-kg brick with a width of 15 cm and a depth of 30 cm falls onto the turntable, so the brick's center of mass is one meter away from the turntable's center. If there's no friction between the brick and turntable and they eventually spin at the same angular speed, what is their final angular speed, in rev/min or in rad/s? Justify your answer with your rationale and equations used. Moments of Inertia: Idisk = MR² for rotation about its center of mass parallel to the z-axis. Iblock = M (W² + D²) for rotation about its center of mass parallel to the z-axis.arrow_forwardSee attached image.arrow_forwardChildren 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_forward
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