College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 8, Problem 25P
To determine
The maximum value of
θ
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A refrigerator of width w and height h rests on a rough incline as in Figure P8.25. Find an expression for the maximum value 0 can have before the refrigerator tips over. Note, the contact point between the refrigerator and incline shifts as 0 increases and treat the refrigerator as a uniform box.
The fishing pole in Figure P8.3 makes an angle of 20.0°
with the horizontal. What is the magnitude of the torque exerted
by the fish about an axis perpendicular to the page and pass-
ing through the angler's hand if the fish pulls on the fishing
line with a force F = 1.00 × 10² N at an angle 37.0° below the
horizontal? The force is applied at a point 2.00 m from the
angler's hands.
120.0°
87.0°
-2.00 m-
120.0°
100 N
Figure P8.3
Review Conceptual Example 7 before starting this problem. A uniform plank of length 5.0 m and weight 225 N rests horizontally on
two supports, with 1.1 m of the plank hanging over the right support (see the drawing). To what distance x can a person who weighs
386 N walk on the overhanging part of the plank before it just begins to tip?
She
M
Wigh
4.1 m
m
Chapter 8 Solutions
College Physics
Ch. 8.5 - Using a screwdriver, you try to remove a screw...Ch. 8.5 - A constant net torque is applied to an object....Ch. 8.5 - The two rigid objects shown in Figure 8.21 have...Ch. 8.6 - Two spheres, one hollow and one solid, are...Ch. 8.7 - A horizontal disk with moment of inertia I1...Ch. 8.7 - If global warming continues, its likely that some...Ch. 8 - Math Review The two conditions for equilibrium...Ch. 8 - Math Review Solve the equations 12mv2+12I2=mgh and...Ch. 8 - Prob. 3WUECh. 8 - Physics Review A construction cranes cable lifts a...
Ch. 8 - A man opens a 1.00-m wide door by pushing on it...Ch. 8 - A worker applies a torque to a nut with a wrench...Ch. 8 - Prob. 7WUECh. 8 - A horizontal plank 4.00 m long and having mass...Ch. 8 - A student rides his bicycle at a constant speed of...Ch. 8 - What is- the magnitude of the angular acceleration...Ch. 8 - Prob. 11WUECh. 8 - A bowling ball of mass 7.00 kg is rolling at 3.00...Ch. 8 - A basketball player entertains the crowd by...Ch. 8 - A disk of mass m is spinning freely at 6.00 rad/s...Ch. 8 - Why cant you put your heels firmly against a wall...Ch. 8 - If you see an object rotating, is there...Ch. 8 - (a) Is it possible to calculate the torque acting...Ch. 8 - Why does a long pole help a tightrope walker stay...Ch. 8 - If you toss a textbook into the air, rotating it...Ch. 8 - Stars originate as large bodies of slowly rotating...Ch. 8 - In a tape recorder, the tape is pulled past the...Ch. 8 - (a) Give an example in which the net force acting...Ch. 8 - A cat usually lands on its feet regardless of the...Ch. 8 - A solid disk and a hoop are simultaneously...Ch. 8 - A mouse is initially at rest on a horizontal...Ch. 8 - The cars in a soapbox derby have no engines; they...Ch. 8 - The fishing pole in Figure P8.3 makes an angle of...Ch. 8 - Find the net torque on the wheel in Figure P8.4...Ch. 8 - Figure P8.4 Calculate the net torque (magnitude...Ch. 8 - A dental bracket exerts a horizontal force of 80.0...Ch. 8 - A simple pendulum consists of a small object of...Ch. 8 - Write the necessary equations of equilibrium of...Ch. 8 - Torque and the Two Conditions for Equilibrium 17....Ch. 8 - Prob. 8PCh. 8 - A cook holds a 2.00-kg carton of milk at arm's...Ch. 8 - A meter stick is found to balance at the 49.7-cm...Ch. 8 - Prob. 11PCh. 8 - A beam resting on two pivots has a length of L =...Ch. 8 - Prob. 13PCh. 8 - Prob. 14PCh. 8 - Many of the elements in horizontal-bar exercises...Ch. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - When a person stands on tiptoe (a strenuous...Ch. 8 - A 500.-N uniform rectangular sign 4.00 m wide and...Ch. 8 - A window washer is standing on a scaffold...Ch. 8 - A uniform plank of length 2.00 m and mass 30.0 kg...Ch. 8 - A hungry bear weighing 700. N walks out on a beam...Ch. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - Prob. 27PCh. 8 - Prob. 28PCh. 8 - Prob. 29PCh. 8 - Prob. 30PCh. 8 - Four objects are held in position at the corners...Ch. 8 - If the system shown in Figure P8.37 is set in...Ch. 8 - A large grinding wheel in the shape of a solid...Ch. 8 - An oversized yo-yo is made from two identical...Ch. 8 - A rope of negligible mass is wrapped around a 225...Ch. 8 - A potters wheel having a radius of 0.50 m and a...Ch. 8 - A model airplane with mass 0.750 kg is tethered by...Ch. 8 - A bicycle wheel has a diameter of 64.0 cm and a...Ch. 8 - A 150.-kg merry-go-round in the shape of a...Ch. 8 - An Atwoods machine consists of blocks of masses m1...Ch. 8 - An airliner lands with a speed of 50.0 m/s. Each...Ch. 8 - A car is designed to get its energy from a...Ch. 8 - A horizontal 800.-N merry-go-round of radius 1.50...Ch. 8 - Four objectsa hoop, a solid cylinder, a solid...Ch. 8 - A light rod of length = 1.00 m rotates about an...Ch. 8 - A 240-N sphere 0.20 m in radius rolls without...Ch. 8 - A solid, uniform disk of radius 0.250 m and mass...Ch. 8 - A solid uniform sphere of mass m and radius R...Ch. 8 - The top in Figure P8.55 has a moment of inertia of...Ch. 8 - A constant torque of 25.0 N m is applied to a...Ch. 8 - A 10.0-kg cylinder rolls without slipping on a...Ch. 8 - Use conservation of energy to determine the...Ch. 8 - A giant swing at an amusement park consists of a...Ch. 8 - Each of the following objects has a radius of...Ch. 8 - (a) Calculate the angular momentum of Earth that...Ch. 8 - A 0.005 00-kg bullet traveling horizontally with a...Ch. 8 - A light, rigid rod of length = 1.00 m rotates...Ch. 8 - Haileys comet moves about the Sun in an elliptical...Ch. 8 - A rigid, massless rod has three particles with...Ch. 8 - A 60.0-kg woman stands at the rim of a horizontal...Ch. 8 - A solid, horizontal cylinder of mass 10.0 kg and...Ch. 8 - A student sits on a rotating stool holding two...Ch. 8 - The puck in Figure P8.71 has a mass of 0.120 kg....Ch. 8 - A space station shaped like a giant wheel has a...Ch. 8 - A cylinder with moment of inertia I1 rotates with...Ch. 8 - A particle of mass 0.400 kg is attached to the...Ch. 8 - Additional Problems A typical propeller of a...Ch. 8 - Prob. 68APCh. 8 - Prob. 69APCh. 8 - Prob. 70APCh. 8 - A uniform ladder of length L and weight w is...Ch. 8 - Two astronauts (Fig. P8.80), each haring a mass of...Ch. 8 - S This is a symbolic version of problem 80. Two...Ch. 8 - Two window washers. Bob and Joe, are on a...Ch. 8 - A 2.35-kg uniform bar of length = 1.30 m is held...Ch. 8 - A light rod of length 2L is free to rotate in a...Ch. 8 - A light rope passes over a light, frictionless...Ch. 8 - An electric motor turns a flywheel through a drive...Ch. 8 - Prob. 79APCh. 8 - A uniform thin rod of length L and mass M is free...Ch. 8 - Prob. 81APCh. 8 - Prob. 82APCh. 8 - A war-wolf, or trebuchet, is a device used during...Ch. 8 - A string is wrapped around a uniform cylinder of...Ch. 8 - The Iron Cross When a gymnast weighing 750 N...Ch. 8 - In an emergency situation, a person with a broken...Ch. 8 - An object of mass m1 = 4.00 kg is connected by a...Ch. 8 - Prob. 88APCh. 8 - A 3.2-kg sphere is suspended by a cord that passes...
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- (a) When opening a door, you push on it perpendicularly with a force of 55.0 N at a distance of 0.850m 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?arrow_forwardFind the net torque on the wheel in Figure P10.23 about the axle through O, taking a = 10.0 cm and b = 25.0 cm. Figure P10.23arrow_forwardThe fishing pole in Figure P10.22 makes an angle of 20.0 with the horizontal. What is the torque exerted by the fish about an axis perpendicular to the page and passing through the anglers hand if the fish pulls on the fishing line with a force F=100N at an angle 37.0 below the horizontal? The force is applied at a point 2.00 m from the anglers hands. Figure P10.22arrow_forward
- In Figure P10.40, the hanging object has a mass of m1 = 0.420 kg; the sliding block has a mass of m2 = 0.850 kg; and the pulley is a hollow cylinder with a mass of M = 0.350 kg, an inner radius of R1 = 0.020 0 m, and an outer radius of R2 = 0.030 0 m. Assume the mass of the spokes is negligible. The coefficient of kinetic friction between the block and the horizontal surface is k = 0.250. The pulley turns without friction on its axle. The light cord does not stretch and does not slip on the pulley. The block has a velocity of vi = 0.820 m/s toward the pulley when it passes a reference point on the table. (a) Use energy methods to predict its speed after it has moved to a second point, 0.700 m away. (b) Find the angular speed of the pulley at the same moment. Figure P10.40arrow_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_forwardA stepladder of negligible weight is constructed as shown in Figure P10.73, with AC = BC = ℓ. A painter of mass m stands on the ladder a distance d from the bottom. Assuming the floor is frictionless, find (a) the tension in the horizontal bar DE connecting the two halves of the ladder, (b) the normal forces at A and B, and (c) the components of the reaction force at the single hinge C that the left half of the ladder exerts on the right half. Suggestion: Treat the ladder as a single object, but also treat each half of the ladder separately. Figure P10.73 Problems 73 and 74.arrow_forward
- A uniform 35.0-kg beam of length ℓ = 5.00 m is supported by a vertical rope located d = 1.20 m from its left end as in Figure P8.8. The right end of the beam is supported by a vertical column. Find (a) the tension in the rope and (b) the force that the column exerts on the right end of the beam.arrow_forwardThe two ends of the barbell shown are made of the same material. Which of the points shown is at the barbell’s center of gravity?arrow_forwardA 500-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal, 6.00-m-long, uniform, 100-N rod as indicated in Figure P8.19. The left end of the rod is supported by a hinge, and the right end is supported by a thin cable making a 30.0° angle with the vertical. (a) Find the tension T in the cable. (b) Find the horizontal and vertical components of force exerted on the left end of the rod by the hinge.arrow_forward
- A person bending forward to lift a load "with his back" (Fig. P8.15a) rather than with his knees" can be injured by large forces exerted on the muscles and vertebrae. The spine pivots mainly at the fifth lumbar vertebra, with the principal supporting force provided by the erector spinalis muscle in the back. To see the magnitude of the forces involved, and to understand why back problems are common among humans, consider the model shown in Fig. PB.15b of a person bending forward to lift a Wo= 185 N object. The spine and upper body are represented as a uniform horizontal rod of weight W, 355 N, pivoted at the base of the spine. The erector spinalis muscle, attached at a point two-thirds of the way up the spine, maintains the position of the back. The angle between the spine and this muscle is 12.0°. Find the tension in the back muscle and the compressional force in the spine. tension in the back muscle KN compressional force in the spinel Pivot Back muscle Figure PB.15 (A) KN (b) 12.0arrow_forwardMany aspects of a gymnast's motion can be modeled by representing the gymnast by four segments consisting of arms, torso (including the head), thighs, and lower legs, as in Figure P8.85. Figure P8.85b shows arrows of lengths reg locat- ing the center of gravity of each segment. Use the data below and the coordinate system shown in Figure P8.85b to locate the center of gravity of the gymnast shown in Figure P8.85a. Masses for the arms, thighs, and legs include both appendages. Mass (kg) "eg (m) 0.239 Segment Length (m) 6.87 Arms 0.548 0.337 33.57 Torso 0.601 14.07 0.374 Thighs 0.151 0.227 7.54 Legs 0.350 Thigh O Arm Leg 60° 60° Torso Figure P8.85arrow_forwardQ4arrow_forward
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