The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk has a radius of 2.1 cm and a mass of 16 grams and is initially at rest. Starting at time t = 0, two forces are to be applied tangentially to the rim as indicated, so that at time t = 1.3 s the disk has an angular velocity of 260 rad/s counterclockwise. Force F1 has a magnitude of 0.105 N. What is magnitude F2? Number i Units

A small 0.340-kg object moves on a frictionless horizontal table in a circular path of radius 1.10 m. The angular speed is 7.09 rad/s. The object is attached to a string of negligible mass that passes through a small hole in the table at the center of the circle. Someone under the table begins to pull the string downward to make the circle smaller. If the string will tolerate a tension of no more than 108 N, what is the radius of the smallest possible circle on which the object can move? Number Units

A playground merry-go-round of radius 4m has a moment of inertia of 324 kg m² and is rotating at 11 rev/min about a frictionless vertical axle. Facing the axle, a 25.0 kg child hops on and manages to sit down on the edge. What is the new rotational speed of the merry-go-round in rev/min?

A large turntable rotates about a fixed vertical axis, making one revolution in 6.00 ss. The moment of inertia of the turntable about this axis is 1300 kg⋅m2kg⋅m2. A child of mass 35.0 kgkg, initially standing at the center of the turntable, runs out along a radius. What is the angular speed of the turntable when the child is 2.50 mm from the center, assuming that you can treat the child as a particle?

A uniform disk of mass m = 1.4 kg and radius R = 25 cm can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F1 = 3.5 N, F2 = 3.5 N, F3 = 7.5 N and F4 = 3.5 N. F2 and F4 act a distance d = 2.5 cm from the center of mass. These forces are all in the plane of the disk. m = 1.4 kgR = 25 cmF1 = 3.5 NF2 = 3.5 NF3 = 7.5 NF4 = 3.5 Nd = 2.5 cm Write an expression for the magnitude τ1 of the torque due to force F1.  Calculate the magnitude τ1 of the torque due to force F1, in N⋅m.     Write an expression for the magnitude τ2 of the torque due to force F2.    Calculate the magnitude τ2 of the torque due to force F2, in N⋅m.   Write an expression for the magnitude τ3 of the torque due to force F3.     Write an expression for the magnitude τ4 of the torque due to force F4.     Calculate the magnitude τ4 of the torque due to force F4, in N⋅m.     Calculate the angular acceleration α of the disk about its center of mass in rad/s2. Let…

A playground merry-go-round of radius R = 1.20 m has a moment of inertia I = 245 kg · m2 and is rotating at 12.0 rev/min about a frictionless vertical axle. Facing the axle, a 22.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round (in rev/min)?

A thin rod has a length of 0.369 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.100 rad/s and a moment of inertia of 1.46 x 103 kg-m². A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (whose mass is 5 x 10-3 kg) gets where it's going, what is the change in the angular velocity of the rod? idn ry C

In a popular amusement park ride, a rotating cylinder of radius R = 3.10 m is set in rotation at an angular speed of 5.30 rad/s, The floor then drops away, leaving the riders suspended against the wall in a vertical position. What minimum coefficient of friction between a rider's clothing and the wall is needed to keep the rider from slipping?

A carousel has a radius of 1.60 m and a moment of inertia of 130 kg · m2.A girl of mass 43.0 kg is standing at the edge of the carousel, which is rotating with an angular speed of 3.10 rad/s. Now the girl walks toward the center of the carousel and stops at a certain distance from the center d. The angular speed of the carousel is now 5.4 rad/s. How far from the center, in meters, did the girl stop?