A boy rolls a tire along a straight level street. The tire has mass 8.0 kg, radius 0.32 m and moment of inertia about its central axis of symmetry of 0.83 kg · m 2 . The boy pushes the tire forward away from him at a speed of 2.1 m/s and sees that the tire leans 12° to the right (Fig. 11–46). ( a ) How will the resultant torque affect the subsequent motion of the tire? ( b ) Compare the change in angular momentum caused by this torque in 0.20 s to the original magnitude of angular momentum. FIGURE 11-46 Problem 71.
A boy rolls a tire along a straight level street. The tire has mass 8.0 kg, radius 0.32 m and moment of inertia about its central axis of symmetry of 0.83 kg · m 2 . The boy pushes the tire forward away from him at a speed of 2.1 m/s and sees that the tire leans 12° to the right (Fig. 11–46). ( a ) How will the resultant torque affect the subsequent motion of the tire? ( b ) Compare the change in angular momentum caused by this torque in 0.20 s to the original magnitude of angular momentum. FIGURE 11-46 Problem 71.
A boy rolls a tire along a straight level street. The tire has mass 8.0 kg, radius 0.32 m and moment of inertia about its central axis of symmetry of 0.83 kg · m2. The boy pushes the tire forward away from him at a speed of 2.1 m/s and sees that the tire leans 12° to the right (Fig. 11–46). (a) How will the resultant torque affect the subsequent motion of the tire? (b) Compare the change in angular momentum caused by this torque in 0.20 s to the original magnitude of angular momentum.
FIGURE 11-46
Problem 71.
Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.
A disc of 5cm radius and 1kg mass begins to move from rest and accelerates uniformly under the action of the constant torque of 0.3 Nm that is exerted by an engine on it. The final speed of 900 rev/min reaches it in
A solid disc and a ring, both of radius 10 cm are placed on a horizontal tablesimultaneously, with initial angular speed equal to 10 π rad s-1. Which of the two will start to roll earlier ? The co-efficient of kinetic friction is µk = 0.2.
In a long jump, an athlete leaves the ground with an initial angular momentum that tends to rotate her body forward, threatening to ruin her landing.To counter this tendency, she rotates her outstretched arms to “take up” the angular momentum (Fig. 11- 18). In 0.700 s, one arm sweeps through 0.500 rev and the other arm sweeps through 1.000 rev.Treat each arm as a thin rod of mass 4.0 kg and length 0.60 m, rotating around one end. In the athlete’s reference frame, what is the magnitude of the total angular momentum of the arms around the common rotation axis through the shoulders?
Chapter 11 Solutions
Physics For Scientists & Engineers Vol. 3 (chs 36-44) With Modern Physics And Mastering Physics (4th Edition)
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