Force F = -4.4 Ni+ 6.4 N j acts on a small rock with a position vector r = 3.1 m i+ 8.5 m j relative to the origin. In unit vector notation, what is the resulting torque on the rock about the point (2.4,4.7,9.9)m?

During the launch from a board, a diver's angular speed about her center of mass changes from zero to 6.90 rad/s in 310 ms. Her rotational inertia about her center of mass is 12.0 kg · m2. (a) During the launch, what was the magnitude of her average angular acceleration? rad/s2 (b) During the launch, what was the magnitude of the average external torque on her from the board? N. m

In the figure, three forces of the same magnitude are applied to a particle at the origin (acts directly into the plane of the figure). Rank the forces according to the magnitudes of the torques they create about the point P2, greatest first. T1, T2 and T3 are the corresponding torques for forces 1, 2 and 3. Ps P2 F1 O T2 = T3 > T1 O T1 > T2 > T3 O T1 = T2 > T3 T2 T3 > T1 T3 > T2 > T1

The 22-cm-diameter disk pictured can rotate on an axle through its center. What is the net torque about the axle?

Three children are riding on the edge of a merry-go-round that has a mass of 105 kg and a radius of 1.80 m. The merry-go-round is spinning at 16.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the 28.0 kg child moves to the center of the merry-go-round, what is the new angular velocity in revolutions per minute? Ignore friction, and assume that the merry-go-round can be treated as a solid disk and the children as point masses. final angular velocity: rpm

Three children are riding on the edge of a merry-go-round that has a mass of 105 kg and a radius of 1.80 m. The merry-go-round is spinning at 20.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the 28.0 kg child moves to the center of the merry-go-round, what is the new angular velocity in revolutions per minute? Ignore friction, and assume that the merry-go-round can be treated as a solid disk and the children as point masses. final angular velocity: грm

Text Predictions: On e to search w S 4. Rank the torques in order from largest to smallest: A: mass mo, radius ro B: mass 2mo, radius ro 2Fo Fo Accessibility: Investigate 5 X alt E D || C R F 1 T JL G 6 B H C: mass mo, radius 2ro 7 hp 8 U J N A Fo M D: mass 2mo, radius 2ro fio ( JO O K > O L 2Fo Focus AA CO 441 + = 4- { PUOL Р 46 alt 80°F insert ? 8:40 AM 6/14/202 prt sc backace

A plum is located at coordinates (-4.0m, 0.0 m, 8.0 m). In unit-vector notation, what is the torque about the origin on the plum due to force F whose only component is Indicated by each of the following equations? (a) Fx = 7.0 N N. m (b) Fy = -3.0 N N.m (c) Fz = 5.0 N N. m (d) Fz = -2.0 N N.m

In a downtown office building, you notice each of the four sections of a rotating door has a mass of 80 kg. What is the width, in meters, of each section of the door if a force of 66 N applied to the outer edge of a section produces an angular acceleration of 0.500 rad/s²? m F

A motorcycle accelerates uniformly from rest and reaches a linear speed of 26.8 m/s in a time of 9.80 s. The radius of each tire is 0.287 m. What is the magnitude of the angular acceleration of each tire?