Chapter 13, Problem 102P

M = A frisbee is thrown such that its final angular velocity is w = 9 after being in flight for t = 2 s. As it rad S flies, the wind applies a constant moment, causing the frisbee to rotate faster. If the frisbee was initially at rest, determine the moment of the wind and the work done by said moment. Assume the frisbee can be modelled as a disk with mass m = = 0.15 kg and that it rotates about its center of gravity G. The frisbee has a radius of r = 0.12 m. UM = N.m r J G M

The ball of mass m is guided along the vertical circular path r = 4cos(0)meters using the arm OA. If the arm has a constant angular velocity Ô00 = 1rad/s determine the angle 0 < 45° at which the ball starts to leave the surface of the semicylinder. Neglect friction and the size of the ball. Enter the angle in degrees in the box below.

The box with a weight of 6 lb slides down the smooth surface that has a circular portion AB. If the speed of the box is 8 ft/sec at A, calculate the magnitude of the normal force acting on the box at C. Present your answer in lb using 3 significant figures. The following relations may be useful: sin(A + B)=sin A c ·cos B±cos A-sin B cos(A + B) = cos A cos B sin A-sin B 45° B 0=30° 20 ft 8 ft/s A 45°

Please do it fast

The slotted arm OA rotates about a fixed axis through O. At the instant under consideration, θθ = 34°, θ˙θ˙ = 43 deg/s, and θ¨θ¨ = 10 deg/s2. Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.3-kg slider B. Neglect all friction, and let L = 0.88 m. The motion occurs in a vertical plane.

The roller coaster and its passenger have a total mass m. Determine the smallest velocity it must have when it enters the loop at A so that it can complete the loop and not leave the track. Also, determine the normal force the tracks exert on the car when it comes around to the bottom at C. The radius of curvature of the tracks at B is p3 , and at C it is Pc. Neglect the size of the car. Points A and C are at the same elevation. B PB

The slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0 = 26°, Ò = 50 deg/s, and Ö – 14 deg/s². Determine the magnited of the force Fapplied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.3-kg slider B. Neglect all friction, and let L = 0.74 m. The motion occurs in a vertical plane. B т -L

The 150-lb car of an amusement partk ride is connected to a rotating telescopic boom. When r = 15 ft, the car is moving on a horizontal circular path with a speed of 30 ft/s. If the boom is shortened at a rate of 3 ft/s, determine the speed of the car when r = 10 ft. Also, find the work done by the axial for F along the boom. Neglect the size of the car and the mass of the boom.

Rod OA rotates counterclockwise at a constant angular rate θ˙ = 4 rad/s. The double collar B is pin-connected together such that one collar slides over the rotating rod and the other collar slides over the circular rod described by the equation r=(1.6cosθ)m. Both collars have a mass of 0.55 kg . Motion is in the horizontal plane. Determine the magnitude of the force which the circular rod exerts on one of the collars at the instant θ = 45∘ Determine the magnitude of the force that OA exerts on the other collar at the instant θ = 45∘