College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Question
Chapter 8, Problem 45P
(a)
To determine
The location of the centre of mass of the leg relative to the hip joint if it is fully extended.
(b)
To determine
The location of the centre of mass of the leg relative to the hip joint if it is bent.
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Three masses, 1.0 kg, 2.0 kg, and 3.0 kg, are located at (0, 0), (1.0 m, 1.0 m), and (2.0 m, -2.0 m),respectively. What is the location of the center of mass of the system?
To keep the calculations fairly simple, but still reasonable, we shall model a human leg that is 92.0 cm long (measured from the hip joint) by assuming that the upper leg and the lower leg (which includes the foot) have equal lengths and that each of them is uniform. For a 70.0 kg person, the mass of the upper leg is 8.60 kg, while that of the lower leg (including the foot) is 5.25 kg. Find the location of the center of mass of this leg, relative to the hip joint, if it is (a) fully extended, and (b) bent at the knee to form a right angle with the upper leg.
A man with mass m1 = 51 kg stands at the left end of a uniform boat with mass m2 = 168 kg and a length L = 3.3 m. Let the origin of our coordinate system be the man’s original location as shown in the drawing. Assume there is no friction or drag between the boat and water.
1) If the man now walks to the right edge of the boat, what is the location of the center of mass of the system?
2) After walking to the right edge of the boat, how far has the man moved from his original location? (What is his new location?)
3) After the man walks to the right edge of the boat, what is the new location the center of the boat?
4) Now the man walks to the very center of the boat. At what location does the man end up?
Chapter 8 Solutions
College Physics (10th Edition)
Ch. 8 - The objects shown in Figure 8.31 move together....Ch. 8 - Gliders A and B are headed directly toward each...Ch. 8 - Example 8.3 and some of the problems in this...Ch. 8 - Is the momentum of a satellite in a circular orbit...Ch. 8 - Prob. 5CQCh. 8 - A woman stands in the middle of a perfectly...Ch. 8 - (a) If the momentum of a single object is equal to...Ch. 8 - (a) When a large car collides with a small car,...Ch. 8 - When rain falls from the sky, what becomes of the...Ch. 8 - In a zero-gravity environment, can a...
Ch. 8 - A machine gun is fired at a steel plate. Is the...Ch. 8 - At the highest point in its parabolic trajectory,...Ch. 8 - A small car collides head-on with a large SUV....Ch. 8 - In which of the following collisions would you...Ch. 8 - A rifle of mass M is initially at rest, but is...Ch. 8 - Two carts, one twice as heavy as the other, are at...Ch. 8 - Two masses, M and 5M, are at rest on a horizontal...Ch. 8 - A glider airplane is coasting horizontally when a...Ch. 8 - Which of the following statements is true for an...Ch. 8 - Which of the following statements is true for an...Ch. 8 - Cart A, of mass 1 kg, is initially moving to the...Ch. 8 - Two lumps of day having equal masses and speeds,...Ch. 8 - A heavy rifle initially at rest fires a light...Ch. 8 - You drop an egg from rest with no air resistance....Ch. 8 - For each case in Figure 8.33, the system consists...Ch. 8 - For each case in Figure 8.34, the system consists...Ch. 8 - Three objects A, B, and C are moving as shown in...Ch. 8 - A 2646 lb car is moving on the freeway at 68 mph....Ch. 8 - The speed of the fastest-pitched baseball was 45...Ch. 8 - Cart A has a mass of 5 kg and is moving in the +x...Ch. 8 - The magnitude of the momentum of a cat is . What...Ch. 8 - Two figure skaters, one weighing 625 N and the...Ch. 8 - Recoil speed of the earth. In principle, any time...Ch. 8 - On a frictionless air track, a 0.150 kg glider...Ch. 8 - You are standing on a sheet of ice that covers the...Ch. 8 - On a frictionless, horizontal air table, puck A...Ch. 8 - Block A in Figure 8.36 has mass 1.00 kg, and block...Ch. 8 - A 750 kg car is stalled on an icy road during a...Ch. 8 - You (mass 55 kg) are riding your frictionless...Ch. 8 - A 4.25 g bullet traveling horizontally with a...Ch. 8 - A ball with a mass of 0.600 kg is initially at...Ch. 8 - Combining conservation laws. A 5.00 kg chunk of...Ch. 8 - Combining conservation laws. A 15.0 kg block is...Ch. 8 - Three Identical boxcars are coupled together and...Ch. 8 - On a highly polished, essentially frictionless...Ch. 8 - A 2 kg block is moving at 5 m/s along a...Ch. 8 - On a very muddy football field, a 110 kg...Ch. 8 - A 5.00 g bullet is fired horizontally into a 1.20...Ch. 8 - A hungry 11.5 kg predator fish is coasting from...Ch. 8 - Bird defense. To protect their young in the nest,...Ch. 8 - Accident analysis. Two cars collide at an...Ch. 8 - A hockey puck B rests on frictionless, level ice...Ch. 8 - A 0.300 kg glider is moving to the right on a...Ch. 8 - On a cold winter day, a penny (mass 2.50 g) and a...Ch. 8 - On an air track, a 400.0 g glider moving to the...Ch. 8 - Blocks A (mass 2.00 kg) and B (mass 10.00 kg) move...Ch. 8 - A 2 kg block is moving at a speed of 10 m/s and...Ch. 8 - A catcher catches a 145 g baseball traveling...Ch. 8 - A block of ice with a mass of 2.50 kg is moving on...Ch. 8 - Biomechanics. The mass of a regulation tennis ball...Ch. 8 - To warm up for a match, a tennis player hits the...Ch. 8 - A 150 g baseball is hit toward the left by a bat....Ch. 8 - Your little sister (mass 25.0 kg) is sitting in...Ch. 8 - A 270 caliber hunting rifle fires an 8.5 g bullet,...Ch. 8 - Calculate the location of the center of mass of...Ch. 8 - Prob. 42PCh. 8 - Three odd-shaped blocks of chocolate have the...Ch. 8 - A 2 kg stone is dropped from a 50-m-tall building....Ch. 8 - Prob. 45PCh. 8 - A 1200 kg station wagon is moving along a straight...Ch. 8 - Walking in a boat. A 45.0 kg woman stands up in a...Ch. 8 - A small rocket burns 0.0500 kg of fuel per second,...Ch. 8 - A rocket is fired in deep space, where gravity is...Ch. 8 - A rocket is fired in deep space, where gravity is...Ch. 8 - A 70 kg astronaut floating in space in a 110 kg...Ch. 8 - In 1.00 second an automatic paintball gun can fire...Ch. 8 - In a volcanic eruption, a 2400-kg boulder is...Ch. 8 - A 0.4 kg stone is thrown horizontally at a speed...Ch. 8 - A stone with a mass of 0.100 kg rests on a...Ch. 8 - A steel ball with a mass of 40.0 g is dropped from...Ch. 8 - A movie stuntman (mass 80.0 kg) stands on a window...Ch. 8 - Tennis, anyone? Tennis players sometimes leap into...Ch. 8 - A mass m is placed at the rim of a frictionless...Ch. 8 - Two identical 1.50 kg masses are pressed against...Ch. 8 - A rifle bullet with mass 8.00 g strikes and embeds...Ch. 8 - A 5.00 g bullet traveling horizontally at 450 m/s...Ch. 8 - The objects in Figure 8.49 are constructed of...Ch. 8 - Changing mass. A railroad hopper car filled with...Ch. 8 - Forensic science. Forensic scientists can measure...Ch. 8 - A 2.0 kg steel sphere is hanging from a hook by a...Ch. 8 - A blue puck with mass 0.0400 kg, sliding with a...Ch. 8 - The structure of the atom. During 19101911, Sir...Ch. 8 - Rocket failure! Just as it has reached an upward...Ch. 8 - In a common physics demonstration, two identical...Ch. 8 - A 7.0 kg shell at rest explodes Into two...Ch. 8 - A 15.0 g acorn falls from rest from the top of a...Ch. 8 - Accident analysts. A 1500 kg sedan goes through a...Ch. 8 - A block of clay is suspended as part of a...Ch. 8 - Momentum and the archerfish. Archerfish are...Ch. 8 - Momentum and the archerfish. Archerfish are...Ch. 8 - Momentum and the archerfish. Archerfish are...Ch. 8 - BIO Momentum and the archerfish. Archerfish are...
Knowledge Booster
Similar questions
- (a) Does the center of mass of a rocket in free space accelerate? Explain. (b) Can the speed of a rocket exceed the exhaust speed of the fuel? Explain.arrow_forwardTwo metersticks are connected at their ends as shown in Figure P10.18. The center of mass of each individual meterstick is at its midpoint, and the mass of each meterstick is m. a. Where is the center of mass of the two-stick system as depicted in the figure, with the origin located at the intersection of the sticks? b. Can the two-stick system be balanced on the end of your finger so that it remains lying flat in front of you in the orientation shown? Why or why not? FIGURE P10.18 (a) The center of mass of the stick on the x axis would be at (0.5 m, 0), and the center of mass of the stick on the stick on the y axis be at (0, 0.5 m), assuming the sticks are uniform. We can then use Equation 10.3 to find the x and y coordinates of the center of mass. xCM=1Mj=1nmjxj=12m[m(0.50m)]=0.25myCM=1Mj=1nmjyj=12m[m(0.50m)]=0.25m The location of the center of mass is (0.25m,0.25m) (b) No. The location of the center of mass is not located on the object, so your finger would not be in contact with the object. In a different orientation, balancing by applying a force at the center of mass might be possible, but not in the orientation shown.arrow_forwardCheck Your Understanding Suppose we included the sun in the system. Approximately where would the center of mass of the Earth-moon-sun system be located? (Feel free to actually calculate it.)arrow_forward
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