Problem 11.1QQ: Which of the following statements about the relationship between the magnitude of the cross product... Problem 11.2QQ: Recall the skater described at the beginning of this section. Let her mass be m. (i) What would be... Problem 11.3QQ: A solid sphere and a hollow sphere have the same mass and radius. They are rotating with the same... Problem 11.4QQ: A competitive diver leaves the diving board and falls toward the water with her body straight and... Problem 11.1OQ: An ice skater starts a spin with her arms stretched out to the sides. She balances on the lip of one... Problem 11.2OQ: A pet mouse sleeps near the eastern edge of a stationary, horizontal turntable that is supported by... Problem 11.3OQ: Let us name three perpendicular directions as right, up, and toward you as you might name them when... Problem 11.4OQ: Let the four compass directions north, east, south, and west be represented by unit vectors ne . .... Problem 11.5OQ: Answer yes or no 10 (he following questions, (a) Is it possible to calculate the torque acting on a... Problem 11.6OQ Problem 11.7OQ: Two ponies of equal mass are initially at diametrically opposite points on the rim of a large... Problem 11.8OQ: Consider an isolated system moving through empty space. The system consists of objects that interact... Problem 11.1CQ: Stars originate as large bodies of slowly rotating gas. Because of gravity, these clumps of gas... Problem 11.2CQ: A scientist arriving at a hotel asks a bellhop to carry a heavy suitcase. When the bellhop rounds a... Problem 11.3CQ Problem 11.4CQ: Two children are playing with a roll of paper towels. One child holds the roll between the index... Problem 11.5CQ: Both torque and work are products of force and displacement. How are they different? Do they have... Problem 11.6CQ: In some motorcycle races, the riders drive over small hills and the motorcycle becomes airborne for... Problem 11.7CQ: If the torque acting on a particle about an axis through a certain origin is zero, what can you say... Problem 11.8CQ: A ball is thrown in such a way that it does not spin about its own axis. Does this statement imply... Problem 11.9CQ: If global warming continues over the next one hundred years, it is likely that some polar ice will... Problem 11.10CQ: A cat usually lands on its feet regardless of the position from which it is dropped. A slow-motion... Problem 11.11CQ Problem 11.1P Problem 11.2P: The displacement vectors 42.0 cm at 15.0 and 23.0 cm at 65.0 both start from the origin and form two... Problem 11.3P Problem 11.4P: Use the definition of the vector product and the definitions of the unit vectors i, j, and k to... Problem 11.5P: Calculate the net torque (magnitude and direction) on the beam in Figure P11.5 about (a) an axis... Problem 11.6P Problem 11.7P: If AB=AB, what is the angle between A and B? Problem 11.8P: A particle is located at a point described by the position vector r=(4.00i+6.00j)m, and a force... Problem 11.9P: Two forces F1 and F2 act along the two sides of an equilateral triangle as shown in Figure P11.5.... Problem 11.10P Problem 11.11P: A light, rigid rod of length l = 1.00 m joins two particles, with masses m1 = 4.00 kg and m2 = 3.00... Problem 11.12P: A 1.50-kg particle moves in the xy plane with a velocity of v=(4.20i3.60j)m/s. Determine the angular... Problem 11.13P: A particle of mass m moves in the xy plane with a velocity of v=vxi+vyj. Determine the angular... Problem 11.14P: Heading straight toward the summit of Pikes Peak, an airplane of mass 12 000 kg flies over the... Problem 11.15P: Review. A projectile of mass m is launched with an initial velocity vi making an angle with the... Problem 11.16P: Review. A conical pendulum consists of a bob of mass m in motion in a circular path in a horizontal... Problem 11.17P: A particle of mass m moves in a circle of radius R at a constant v speed as shown in Figure P11.13.... Problem 11.18P: A counterweight of mass m = 4.00 kg is attached to a light cord that is wound around a pulley as in... Problem 11.19P: The position vector of a particle of mass 2.00 kg as a function of time is given by r = (600i +... Problem 11.20P: A 5.00-kg particle starts from the origin at time zero. Its velocity as a function of time is given... Problem 11.21P: A ball having mass m is fastened at the end of a flagpole that is connected to the side of a tall... Problem 11.22P: A uniform solid sphere of radius r = 0.500 m and mass m = 15.0 kg turns counterclockwise about a... Problem 11.23P: Big Ben (Fig. P10.27, page 281), the Parliament tower clock in London, has hour and minute hands... Problem 11.24P: Show that the kinetic energy of an object rotating about a fixed axis with angular momentum L = I... Problem 11.25P: A uniform solid disk of mass m = 3.00 kg and radius r = 0.200 m rotates about a fixed axis... Problem 11.26P: Model the Earth as a uniform sphere. (a) Calculate the angular momentum of the Earth due to its... Problem 11.27P Problem 11.28P: The distance between the centers of the wheels of a motorcycle is 155 cm. The center of mass of the... Problem 11.29P: A space station is coast me ted in the shape of a hollow ring of mass 5.00 104 kg. Members of the... Problem 11.30P: A disk with moment of inertia I1 rotates about a frictionless, vertical axle with angular speed i. A... Problem 11.31P: A playground merry-go-round of radius R = 2.00 m has a moment of inertia I = 250 kgm2 and is... Problem 11.32P Problem 11.33P: A 60.0-kg woman stands at the western rim of a horizontal turntable having a moment of inertia of... Problem 11.34P: A student sits on a freely rotating stool holding two dumbbells, each of mass 3.00 kg (Fig. PI... Problem 11.35P: A uniform cylindrical turntable of radius 1.90 m and mass 30.0 kg rotates counterclockwise in a... Problem 11.36P Problem 11.37P: A wooden block of mass M resting on a frictionless, horizontal surface is attached to a rigid rod of... Problem 11.38P: Review. A thin, uniform, rectangular signboard hangs vertically above the door of a shop. The sign... Problem 11.39P: A wad of sticky clay with mass m and velocity vi is fired at a solid cylinder of mass M and radius R... Problem 11.40P: Why is the following situation impossible? A space station shaped like a giant wheel (Fig. P11.28,... Problem 11.41P: A 0.005 00-kg bullet traveling horizontally with speed 100 103 m/s strikes an 18.0-kg door,... Problem 11.42P: Section 11.5 The Motion of Gyroscopes and Tops A spacecraft is in empty space. It carries on board... Problem 11.43P: The angular momentum vector of a precessing gyroscope sweeps out a cone as shown in Figure P11.31.... Problem 11.44AP: A light rope passes over a light, frictionless pulley. One end is fastened to a bunch of bananas of... Problem 11.45AP Problem 11.46AP: Review. Two boys are sliding toward each other on a frictionless, ice-covered parking lot. Jacob,... Problem 11.47AP: We have all complained that there arent enough hours in a day. In an attempt to fix that, suppose... Problem 11.48AP Problem 11.49AP: A rigid, massless rod has three particles with equal masses attached to it as shown in Figure... Problem 11.50AP Problem 11.51AP: A projectile of mass m moves to the right with a speed i (Fig. P11.51a). The projectile strikes and... Problem 11.52AP: Two children are playing on stools at a restaurant counter. Their feet do not reach the footrests,... Problem 11.53AP Problem 11.54AP Problem 11.55AP: Two astronauts (Fig. P11.39), each having a mass of 75.0 kg, are connected by a 10.0-m rope of... Problem 11.56AP: Two astronauts (Fig. P11.39), each having a mass M, are connected by a rope of length d having... Problem 11.57AP: Native people throughout North and South America used a bola to hunt for birds and animals. A bola... Problem 11.58AP: A uniform rod of mass 300 g and length 50.0 cm rotates in a horizontal plane about a fixed,... Problem 11.59AP: Global warming is a cause for concern because even small changes in the Earths temperature can have... Problem 11.60AP: The puck in Figure P11.46 has a mass of 0.120 kg. The distance of the puck from the center of... Problem 11.61CP: A uniform solid disk of radius R is set into rotation with an angular speed i about an axis through... Problem 11.62CP: In Example 11.8, we investigated an elastic collision between a disk and a stick lying on a... Problem 11.63CP Problem 11.64CP: A solid cube of wood of side 2a and mass M is resting on a horizontal surface. The cube is... format_list_bulleted