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.
12–158. An airplane is flying in a straight line with a
velocity of 200 mi/h and an acceleration of 3 mi/h². If the
propeller has a diameter of 6 ft and is rotating at a constant
angular rate of 120 rad/s, determine the magnitudes of
velocity and acceleration of a particle located on the tip of
the propeller.
The wheel has a mass of 100 kg and a radius of gyration of
ko = 0.2 m. A motor supplies a torque M = (400 + 900) N. m,
where is in radians, about the drive shaft at O. Initially the car
is at rest when s = 0 and 0 = 0°. Neglect the mass of the
attached cable and the mass of the car's wheels. (Figure 1)
Figure
M
0.3 m
1 of 1
Part A
Determine the speed of the loading car, which has a mass of 270 kg, after it travels s = 4 m.
Express your answer to three significant figures and include the appropriate units.
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A spool of mass 60 kg is supported on two rollers at A and B as shown in Figure Q1(c). Neglect the mass of the inelastic cable, friction and the mass of the rollers at A and B. Knowing that a constant pulling force P is applied in order to unwind 6 m of cable in 3 s starting from rest. The radius of gyration for the spool is (600) mm.(i) Determine the angular acceleration of the spool. (ii) Determine the pulling force P. (iii) Explain with calculation on ways to increase the acceleration of cable being pulled.
Chapter 11 Solutions
Physics for Scientists and Engineers with Modern Physics
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