College Physics 11E Global Edition
11th Edition
ISBN: 9781337620338
Author: SERWAY/VUILLE
Publisher: CENGAGE Learning Custom Publishing
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Chapter 8, Problem 12P
To determine
The
x
-and
y
-coordinates of the center of gravity of the boomerang.
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Students have asked these similar questions
The arm in Figure P8.17 weighs 41.5 N. The force of
gravity acting on the arm acts through point A. Determine the
magnitudes of the tension force F, in the deltoid muscle and
the force F, exerted by the shoulder on the humerus (upper-
arm bone) to hold the arm in the position shown.
F,
12°
F,
'0.080 m
-0.290 m
Figure P8.17
Two crates of mass m1 = 15 kg and m2 = 25 kg are connected by a cable that is strung over a pulley of mass mpulley = 20 kg as shown in Figure P8.58. There is no friction between crate 1 and the table.
(a) Make a sketch showing all theforces on both crates and the pulley.
(b) Express Newton’s second law for the crates (translational motion)and for the pulley (rotational motion).
The linear acceleration a of the crates, the angular acceleration a(alpha) of the pulley, and the tensions in the right and left portions of the rope are unknowns.
(c) What is the relation between a and a(alpha)?
(d) Find the acceleration of the crates.
(e) Find the tensions in the right and left por- tions of the rope.
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
Chapter 8 Solutions
College Physics 11E Global Edition
Ch. 8.4 - Using a screwdriver, you try to remove a screw...Ch. 8.4 - A constant net torque is applied to an object....Ch. 8.4 - The two rigid objects shown in Figure 8.21 have...Ch. 8.5 - Two spheres, one hollow and one solid, are...Ch. 8.6 - A horizontal disk with moment of inertia I1...Ch. 8.6 - If global warming continues, its likely that some...Ch. 8 - Why cant you put your heels firmly against a wall...Ch. 8 - Two point masses are the same distance R from an...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 - A person stands a distance R from a doors hinges...Ch. 8 - Orbiting spacecraft contain internal gyroscopes...Ch. 8 - If you toss a textbook into the air, rotating it...Ch. 8 - Stars originate as large bodies of slowly rotating...Ch. 8 - An object is acted on by a single nonzero force of...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 - Gravity is an example of a central force that acts...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 - 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 - 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 - Prob. 8PCh. 8 - Prob. 9PCh. 8 - Prob. 10PCh. 8 - Prob. 11PCh. 8 - Prob. 12PCh. 8 - Prob. 13PCh. 8 - The Xanthar mothership locks onto an enemy cruiser...Ch. 8 - Prob. 15PCh. 8 - Prob. 16PCh. 8 - Torque and the Two Conditions for Equilibrium 17....Ch. 8 - Prob. 18PCh. 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. 21PCh. 8 - A beam resting on two pivots has a length of L =...Ch. 8 - Prob. 23PCh. 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. 29PCh. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - Write the necessary equations of equilibrium of...Ch. 8 - Prob. 33PCh. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - Prob. 36PCh. 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 - An approximate model for a ceiling fan consists of...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 - The uniform thin rod in Figure P8.47 has mass M =...Ch. 8 - A 2.50-kg solid, uniform disk rolls without...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 car is designed to get its energy from a...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 2.00-kg solid, uniform ball of radius 0.100 m is...Ch. 8 - Each of the following objects has a radius of...Ch. 8 - A metal hoop lies on a horizontal table, free to...Ch. 8 - A disk of mass m is spinning freely at 6.00 rad/s...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 student holds a spinning bicycle wheel while...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. 76APCh. 8 - Prob. 77APCh. 8 - Prob. 78APCh. 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 - Prob. 85APCh. 8 - A uniform thin rod of length L and mass M is free...Ch. 8 - Prob. 87APCh. 8 - Prob. 88APCh. 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. 94APCh. 8 - A 3.2-kg sphere is suspended by a cord that passes...
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- When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in Figure P8.24a. The total gravitational force on the body, F, is supported by the force n exerted by the floor on the toes of one foot. A mechanical model of the situation is shown in Figure P8.24b, where T is the force exerted by the Achilles tendon on the foot and R is the force exerted by the tibia on the foot. Find the values of T, R, and 0 when F, = n = 700. N. -Achilles tendon Tibia 15.0° 18.0 cm 25.0 cm Figure P8.24arrow_forwardThree identical coins lie on three corners of a square 10.0 cm on a side, as shown. Determine the x- and y-coordinates of the center of gravity of the group of three coins.arrow_forwardThe main muscles that hold your head upright attach to your spine in back of the point where your head pivots on your neck. Figure P8.66 shows typical numbers for the distance from the pivot to the muscle attachment point and the distance from the pivot to the center of gravity of the head. The muscles pull down to keep your head upright. If the muscle relaxes—if, for instance, you doze in one of your classes besides Physics—your head tips forward. In the questions that follow, assume that your head has a mass of 4.8 kg, and that you maintain the relative angle between your head and your spine. a. With the head held level, as shown, what muscle force is needed to keep a 4.8 kg head upright?b. If you tip your body forward so that your spine is level with the ground, what muscle force is needed to keep your head in the same orientation relative to the spine?c. If you tip your body backward, you will reach a point where no muscle force is needed to keep your head upright. For the…arrow_forward
- D) Solve the equations you have made in parts A and C) to find F;, Fs, and 0. (Hint: F; x F; 700 N, 0 9°)arrow_forwardThe meterstick shown is 100 cm long. It is free to pivot around its center of gravity (CG), which is at the 50 cm 10 20 30 40 50 60 70 80 90 mark. There is a 20.0 N block hanging from the 80 cm mark. Decide where each of the other blocks should be placed, one at a time, to balance out the 20.0 N block. 3 2 1 At what mark on the meter stick would you place a 19.0 N block to balance the 20.0 N block? mark: cm At what mark on the meter stick would you place a 42.0 N block to balance the 20.0 N block? mark: cm about us careers privacy policy terms of use contact us help -8arrow_forwardThe meterstick shown is 100 cm long. It is free to pivot around its center of gravity (CG), which is at the 50 cm mark. There is a 20.0 N block hanging from the 80 cm mark. Decide where each of the other blocks should be placed, one at a time, to balance out the 20.0 N block. At what mark on the meter stick would you place a 19.0 N block to balance the 20.0 N block? mark: cm At what mark on the meter stick would you place a 44.0 N block to balance the 20.0 N block? mark: cm 10 3 20 2 30 WOR 40 50 60 70 80 90arrow_forward
- A bicycle mechanic is checking a road bike’s chain. He applies a 45 N force to a pedal at the angle shown while keeping the wheel from rotating. The pedal is 17 cm from the center of the crank; the gear has a diameter of 16 cm. What is the tension in the chain?arrow_forwardA cat walks along a plank with mass M = 6.00 kg. The plank is supported by two sawhorses. The center of mass of theplank is a distance d1 = 0.850 m to the left of sawhorse B. When the cat is a distance d2 = 1.11 m to the right of sawhorseB, the plank just begins to tip. What is the mass of the cat, m?arrow_forwardThe meterstick shown is 100 cm long. It is free to pivot around its center of gravity (CG), which is at the 50 cm mark. 10 20 30 40 50 60 70 80 90 There is a 25.0 N block hanging from the 80 cm mark. Decide where each of the other blocks should be placed, one at a time, to balance out the 25.0 N block. 3 2 1 At what mark on the meter stick would you place a 19.0 N block to balance the 25.0 N block? mark: cm At what mark on the meter stick would you place a 44.0 N block to balance the 25.0 N block? mark: стarrow_forward
- The meterstick shown is 100 cm long. It is free to pivot around its center of gravity (CG), which is at the 50 cm mark. There is a 24.0 N block hanging from the 80 cm mark. Decide where each of the other blocks should be placed, one at a time, to balance out the 24.0 N block. At what mark on the meter stick would you place a 19.0 N block to balance the 24.0 N block? mark: At what mark on the meter stick would you place a 44.0 N block to balance the 24.0 N block? mark:arrow_forwardThe large quadriceps muscle in the upper leg ter- Quadriceps - Tendon minates at its lower end in a - Tibia tendon attached to the upper end of the tibia (Fig. P8.35a). The forces on the lower leg when the leg is extended are modeled as in Figure P8.35b, where T is the force of ten- a sion in the tendon, w is the force of gravity acting on the lower leg, and F is the force of gravity acting on the foot. Find T when the ten- 25.0° T don is at an angle of 25.0° with the tibia, assuming that w = 30.0 N, F = 12.5 N, and the leg is extended at an angle 0 of 40.0° with the ver- Figure P8.35 tical. Assume that the center of gravity of the lower leg is at its center and that the tendon attaches to the lower leg at a point one-fifth of the way down the leg. 13arrow_forwardAt the park, a 7 m long seesaw is supported in the middle.A 50 kg child sits at the far left end and a 65 kg child sits somewhere on the right hand side. Find how far the second child is from the center in order to balance the seesaw.arrow_forward
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