Modified Mastering Physics without Pearson eText-- Instant Access -- for Physics for Scientists & Engineers with Modern Physics
5th Edition
ISBN: 9780134402659
Author: GIANCOLI, Douglas
Publisher: PEARSON
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(II) A potter’s wheel is rotating around a vertical axis through its center at a frequency of 1.5 rev/s. The wheel can be considered a uniform disk of mass 5.0 kg and diameter 0.40 m. The potter then throws a 2.6-kg chunk of clay,approximately shaped as a flat disk of radius 7.0 cm, onto the center of the rotating wheel. What is the frequency of the wheel after the clay sticks to it? Ignore friction.
*12–176. The car travels around the circular track with a
constant speed of 20 m/s. Determine the car's radial and
transverse components of velocity and acceleration at the
instant 0 = 7/4 rad.
12–177. The car travels around the circular track such that
its transverse component is 0 = (0.006/2) rad, where t is in
seconds. Determine the car's radial and transverse
components of velocity and acceleration at the instant t=4 s.
r = (400 cos 0) m
A person drops a cylindrical steel bar (Y = 2.00 x 10" Pa) from a height of 5.00 m (distance between the floor and the
bottom of the vertically oriented bar). The bar, of length L = 0.63 m, radius R = 0.50 cm, and mass m = 0.80 kg, hits the
floor and bounces up, maintaining its vertical orientation. Assuming the collision with the floor is elastic, and that no rotation
occurs, what is the maximum compression of the bar?
Al = 2.21
mm
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Chapter 11 Solutions
Modified Mastering Physics without Pearson eText-- Instant Access -- for Physics for Scientists & Engineers with Modern Physics
Ch. 11.1 - Prob. 1AECh. 11.1 - Suppose you are standing on the edge of a large...Ch. 11.1 - CONCEPTUAL EXAMPLE 115 Spinning bicycle wheel....Ch. 11.1 - For the vectors A and B in the plane of the page...Ch. 11.2 - Prob. 1EECh. 11.2 - Prob. 1FECh. 11 - Can the diver of Fig. 112 do a somersault without...Ch. 11 - When a motorcyclist leaves the ground on a jump...Ch. 11 - Suppose you are sitting on a rotating stool...Ch. 11 - Prob. 4Q
Ch. 11 - A shortstop may leap into the air to catch a ball...Ch. 11 - If all the components of the vectors V1 and V2...Ch. 11 - A force F=Fj is applied to an object at a position...Ch. 11 - A particle moves with constant speed along a...Ch. 11 - If the net force on a system is zero, is the net...Ch. 11 - Explain how a child pumps on a swing to make it go...Ch. 11 - Describe the torque needed if the person in Fig....Ch. 11 - An astronaut floats freely in a weightless...Ch. 11 - On the basis of the law of conservation of angular...Ch. 11 - A wheel is rotating freely about a vertical axis...Ch. 11 - Consider the following vector quantities:...Ch. 11 - How does a car make a right turn? Where does the...Ch. 11 - In a rotating frame of reference. Newtons first...Ch. 11 - Why is it that at most locations on the Earth, a...Ch. 11 - In the battle of the Falkland Islands in 1914, the...Ch. 11 - Prob. 1MCQCh. 11 - Prob. 4MCQCh. 11 - Prob. 5MCQCh. 11 - Prob. 6MCQCh. 11 - Prob. 7MCQCh. 11 - Prob. 8MCQCh. 11 - Prob. 9MCQCh. 11 - Prob. 10MCQCh. 11 - Prob. 11MCQCh. 11 - Prob. 1PCh. 11 - Prob. 2PCh. 11 - (II) A nonrotating cylindrical disk of moment of...Ch. 11 - (II) A diver (such as the one shown in Fig. 112)...Ch. 11 - Prob. 5PCh. 11 - Prob. 6PCh. 11 - Prob. 7PCh. 11 - Prob. 8PCh. 11 - Prob. 9PCh. 11 - (II) A person of mass 75 kg stands at the center...Ch. 11 - (II) A person stands on a platform, initially at...Ch. 11 - Prob. 12PCh. 11 - Prob. 13PCh. 11 - (II) A woman of mass m stands at the edge of a...Ch. 11 - Prob. 15PCh. 11 - Prob. 16PCh. 11 - (II) A uniform horizontal rod of mass M and length...Ch. 11 - (II) Suppose our Sun eventually collapses into a...Ch. 11 - (III) Hurricanes can involve winds in excess of...Ch. 11 - Prob. 21PCh. 11 - (I) If vector A points along the negative x axis...Ch. 11 - (I) Show that (a) i i = j j = k k = 0. (b) i j...Ch. 11 - (I) The directions of vectors A and B are given...Ch. 11 - (II) What is the angle between two vectorsA and...Ch. 11 - Prob. 26PCh. 11 - (II) Consider a particle of a rigid object...Ch. 11 - Prob. 29PCh. 11 - (II) An engineer estimates that under the most...Ch. 11 - Prob. 31PCh. 11 - Prob. 32PCh. 11 - Prob. 33PCh. 11 - (I) What are the x, y, and z components of the...Ch. 11 - (I) Show that the kinetic energy K of a particle...Ch. 11 - (I) Calculate the angular momentum of a particle...Ch. 11 - (II) Two identical particles have equal but...Ch. 11 - Prob. 38PCh. 11 - Prob. 39PCh. 11 - Prob. 40PCh. 11 - (II) Four identical particles of mass m are...Ch. 11 - (II) Two lightweight rods 24 cm in length are...Ch. 11 - (II) Figure 1135 shows two masses connected by a...Ch. 11 - (III) Show that the total angular momentum L=ripi...Ch. 11 - Prob. 45PCh. 11 - Prob. 46PCh. 11 - (II) A thin rod of mass M and length is suspended...Ch. 11 - Prob. 48PCh. 11 - Prob. 49PCh. 11 - Prob. 50PCh. 11 - Prob. 51PCh. 11 - (III) A thin rod of mass M and length rests on a...Ch. 11 - (III) On a level billiards table a cue ball,...Ch. 11 - Prob. 54PCh. 11 - (II) A toy gyroscope consists of a 170-g disk with...Ch. 11 - Prob. 56PCh. 11 - Prob. 57PCh. 11 - Prob. 58PCh. 11 - Prob. 60PCh. 11 - Prob. 61PCh. 11 - (II) Suppose the man at B in Fig. 1126 throws the...Ch. 11 - (II) For what directions of velocity would the...Ch. 11 - (III) We can alter Eqs. 1114 and 1115 for use on...Ch. 11 - (III) An ant crawls with constant speed outward...Ch. 11 - A thin string is wrapped around a cylindrical hoop...Ch. 11 - Prob. 67GPCh. 11 - Prob. 68GPCh. 11 - Why might tall narrow SUVs and buses be prone to...Ch. 11 - A projectile with mass m is launched from the...Ch. 11 - Prob. 71GPCh. 11 - Prob. 72GPCh. 11 - Prob. 73GPCh. 11 - Prob. 74GPCh. 11 - Prob. 75GPCh. 11 - Prob. 76GPCh. 11 - Prob. 77GPCh. 11 - Prob. 78GPCh. 11 - A particle of mass m uniformly accelerates as...Ch. 11 - Prob. 80GPCh. 11 - Most of our Solar Systems mass is contained in the...Ch. 11 - Competitive ice skaters commonly perform single,...Ch. 11 - Prob. 84GPCh. 11 - A baseball bat has a sweet spot where a ball can...Ch. 11 - Prob. 86GP
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- The precession angular velocity of a gyroscope is 1.0 rad/s. If the mass of the rotating disk is 0.4 kg and its radius is 30 cm, as well as the distance from the center of mass to the pivot, what is the rotation rate in rev/s of the disk?arrow_forwardFigure P10.18 shows the drive train of a bicycle that has wheels 67.3 cm in diameter and pedal cranks 17.5 cm long. The cyclist pedals at a steady cadence of 76.0 rev/min. The chain engages with a from sprocket 15.2 cm in diameter and a rear sprocket 7.00 cm in diameter. Calculate (a) the speed of a link of the chain relative to the bicycle frame, (b) the angular speed of the bicycle wheels, and (c) the speed of the bicycle relative to the road, (d) What pieces of data, if any, are not necessary for the calculations?arrow_forwardA thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an axis perpendicular to therod and through one of its ends. Find the magnitude of the rodsangular momentum.arrow_forward
- A disk 8.00 cm in radius rotates at a constant rate of 1200 rev/min about its central axis. Determine (a) its angular speed in radians per second, (b) the tangential speed at a point 3.00 cm from its center, (c) the radial acceleration of a point on the rim, and (d) the total distance a point on the rim moves in 2.00 s.arrow_forwardFigure P10.16 shows the drive train of a bicycle that has wheels 67.3 cm in diameter and pedal cranks 17.5 cm long. The cyclist pedals at a steady cadence of 76.0 rev/min. The chain engages with a front sprocket 15.2 cm in diameter and a rear sprocket 7.00 cm in diameter. Calculate (a) the speed of a link of the chain relative to the bicycle frame, (b) the angular speed of the bicycle wheels, and (c) the speed of the bicycle relative to the road. (d) What pieces of data, if any, are not necessary for the calculations? Figure P10.16arrow_forwardA smaller disk of radius r and mass m is attached rigidly to the face of a second larger disk of radius R and mass M as shown in Figure P15.48. The center of the small disk is located at the edge of the large disk. The large disk is mounted at its center on a frictionless axle. The assembly is rotated through a small angle from its equilibrium position and released. (a) Show that the speed of the center of the small disk as it passes through the equilibrium position is v=2[Rg(1cos)(M/m)+(r/R)2+2]1/2 (b) Show that the period of the motion is v=2[(M/2m)+R2+mr22mgR]1/2 Figure P15.48arrow_forward
- The position vector of a particle of mass 2.00 kg as a function of time is given by r=(6.00i+5.00tj), where r is in meters and t is in seconds. Determine the angular momentum of the particle about the origin as a function of time.arrow_forwardA space station is constructed in the shape of a hollow ring of mass 5.00 104 kg. Members of the crew walk on a deck formed by the inner surface of the outer cylindrical wall of the ring, with radius r = 100 m. At rest when constructed, the ring is set rotating about its axis so that the people inside experience an effective free-fall acceleration equal to g. (See Fig. P10.52.) The rotation is achieved by firing two small rockets attached tangentially to opposite points on the rim of the ring. (a) What angular momentum does the space station acquire? (b) For what time interval must the rockets be fired if each exerts a thrust of 125 N? Figure P10.52 Problems 52 and 54.arrow_forwardConsider two cylinders that start down identical inclines from rest except that one is frictionless. Thus one cylinder rolls without slipping, while the other slides frictionlessly without rolling. They both travel a sh01t distance at the bottom and then start up another incline. (a) Show that they both reach the same height on the other incline, and that this height is equal to their original height. (b) Find the ratio of the time the rolling cylinder takes to reach the height on the second incline to the time the sliding cylinder takes to reach the height on the second incline. (c) Explain why the time for the rolling motion is greater than that for the sliding motion.arrow_forward
- A disk of mass m1 is rotating freely with constant angularspeed . Another disk of mass m2 that has the same radius isgently placed on the first disk. If the surfaces in contact arerough so that there is no slipping between the disks, what is thefractional decrease in the kinetic energy of the system?arrow_forwardA simple pendulum is made of a 50 cm-string and a bob of mass m. At t = 0, the pendulum is at its equilibrium position and is given an initial velocity V = 0.2 m/s. The maximum angular %3D %3D speed, e'max, is: O 0.1 rad/s O 0.05 rad/s 0.4 rad/s 0.2 rad/s 0.8 rad/sarrow_forwardmכ عرض مراسلات A flywheel rotates with a uniform speed of 108rpm for 5.3 seconds .Then it is uniformly accelerated at 0.3rad/s for next 6.6 s. then it is made to stop in next 5s. Determine Omaximum angular velocity; (ii) total angular displacement 4.The initial velocity in third case in rad/s woa = 5.The angular displacement in third case in rad 0,- 6.The total displacement in-rad 0= التركبرarrow_forward
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