College Physics (Instructor's)
11th Edition
ISBN: 9781305965317
Author: SERWAY
Publisher: CENGAGE L
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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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Find the x - and y -coordinates of the center of gravity for the boomerang in Figure P8.12a. modeling the boomerang as in Figure P8.12b, where each uniform leg of the model has a length of 0.300 m and a mass of0.250 kg. (Note: Treat the legs like thin rods.)
Find the x- and y -coordinates of the center of gravity for theboomerang in Figure P8.12a, modeling the boomerang as inFigure P8.12b, where each uniform leg of the model has alength of 0.300 m and a mass of 0.250 kg. (Note: Treat the legslike thin rods.)
Many 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 P8.85
Chapter 8 Solutions
College Physics (Instructor's)
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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- Suppose a 417 kg alligator of length 3.3 m is stretched out on a board of the same length weighing 99 N. If the board is supported on the ends as in Figure 8.10, and the scale reads 1798 N, find the x-component of the alligator's center of gravity.arrow_forwardThe 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 P8.17arrow_forwardA uniform plank of length 2.00m and mass 30.0kg is supported by three ropes, as indicated by the blue vectors in figure p8.27. Find the tension in each rope when a 700-N person is d=0.500m from the left end.arrow_forward
- Figure P8.29 shows a uniformbeam of mass m pivoted atits lower end, with a horizontalspring attached between its topend and a vertical wall. Thebeam makes an angle θ with thehorizontal. Find expressions for(a) the distance d the spring isstretched from equilibrium and(b) the components of the forceexerted by the pivot on thebeam.arrow_forwardA 5.4 kg cat and a 2.5 kg bowl of tuna fish are at opposite ends of the 4.0-m-long seesaw. (Figure 1) You may want to review (Pages 312 - 314). Figure 2.0 m 2.0 m 1 of 1 Part A How far to the left of the pivot must a 4.0 kg cat stand to keep the seesaw balanced? Express your answer to two significant figures and include the appropriate units. d = Value Submit μA Provide Feedback Request Answer Unitsarrow_forwardA 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_forward
- 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.arrow_forwardThe 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 P8.3arrow_forwardA 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.arrow_forward
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