The figure shows a uniform disk that can rotate around its center like a merry-go- round. The disk has a radius of 2.4 cm and a mass of 17 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 300 rad/s counterclockwise. Force F₁ has a magnitude of 0.0995 N. What is magnitude F₂? F₂

A flat uniform circular disk (radius = 6.22 m, mass=320 kg) is initially stationary. The disk is free to rotate in the horizontal plane about a frictionless axis perpendicular to the center of the disk. A 51.0-kg person, standing 2.32 m from the axis, begins to run on the disk in a circular path and has a tangential speed of 3.00 m/s relative to the ground. Find the resulting angular speed (in rad/s) of the disk.

During the spin cycle the time dependent angular speed of a washing machine drum is given by the equation ω(t) = at + bt2 - ct4 where a = 1.1 rad/s2, b = 0.65 rad/s3 and c = 0.035 rad/s5. At time t = 0 s, a point P on the washer drum is located at θ0 = 1.8 rad. Part (a)  Write an equation for the angular acceleration of the drum, as a function of time, in terms of the given parameters.  Part (b)  What is the angular acceleration, in radians per square second, at time t = 2.2 s?   Part (c)  Write an equation for the angular position of the point P, as a function of time, in terms of the given parameters.    Part (d)  What is the angular position of the point P on the drum, in radians, at t = 2.2 s?

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

In the figure, wheel A of radius -9.40 cm is coupled by belt B to wheel C of radius rc-26.1 cm. The angular speed of wheel A is increased from rest at a constant rate of 2.53 rad/s². Find the time needed for wheel C to reach an angular speed of 63.0 rev/min, assuming the belt does not slip. (Hint: If the belt does not slip, the linear speeds at the two rims must be equal.) Number Ma Units B

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…

Two forces are given in vector notation: F1 = 2i + 3k F2 = -4i + j - 5k What is the cross product?

A uniform disk (1=1/2 mR2) has a mass of 3 kg and a radius of 2m. The disk is mounted on frictionless bearings and is used as a turntable. The turntable is initially rotating at 120 rpm (revolutions per minute, convert it to rad/s). A hollow cylinder has the same mass and radius as the disk. It is released from rest, just above the turntable, and on the same vertical axis. The hollow cylinder slips on the turntable for 0.20 s until it acquires the same final angular velocity as the turntable. (HINT: Note that some of the information given is not needed! Think which conservation law(s) apply.) The final angular momentum of the system is closest to: L = Submit [5] ΑΣΦ Request Answer ? kg. m²/s 4

A student sits on a rotating stoll holding two 8.0kg objects. When his arms are extended horizontally, the objects are 1.3m from the axis rotation and he rotated with an angular speed of 1.8rad/s. The moment of intertidal of the student plus stoll is 4.5kg•m^2 and is assumed to be constant.  if the student pulls in the two objects horizontally to 0.50m from the rotation axis. What is the new angular speed in rad/s of the student? (3 sig fig)

A jewel smith wishing to buff a finished piece of jewelry attaches a buffing disk to his drill. The radius of the disk is 3.60 mm and he operates it at 2.25 x 10 rad/s (a) Determine the tangential speed of the rim of the disk. 181 m/s (b) The jeweler increases the operating speed so that the tangential speed of the rim of the disk is now 285 m/s. What is the period of rotation of the disk now? 7.94e-5x Your answer cannot be understood or graded. More Information s