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- 1. What is the minimum radius Rhump you can use for the semi-circular hump? 2. What is the minimum radius Rloop you can use for the vertical loop?The radius of a car tire is 0.2m. The distance moved by the car if the tire makes 100 rotations is О а. 20 m O b. 62.8 m О с. 500 m O d. 125.6 m8. Ả = − 1î – 2ĵ, B = 2î – 1ĵ, calculate the cross product of Ả X B.
- 4. The position vector of a particle that lies in the xy plane and is given by r = (5.0î - 3.0ĵ)m. A force is applied to the particle. F = 10 NÊ. Determine the torque vector.4It has been suggested that rotating cylinders about 11.0 mi long and 3.63 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth? rad/s
- 7. Find the tangential and normal components of acceleration for r(t) = (8 cos t ,8 sin t, 8t)A centrifuge in a medical laboratory rotates at an angular speed of 3450 rev/min. When switched off, it rotates through 50.0 revolutions before coming to rest. Find the constant angular acceleration of the centrifuge. rad/s2A 270-g mass hangs from a string that is wrapped around a pulley, as shown in the figure. The pulley is suspended in such a way that it can rotate freely. When the mass is released, it accelerates toward the floor as the string unwinds. Model the pulley as a uniform solid cylinder of mass 1.00 kg and radius 7.00 cm. Assume that the thread has negligible mass and does not slip or stretch as it unwinds. Determine the magnitude a of the pulley's angular acceleration. rad/s? a = Determine the magnitude of the acceleration a of the descending weight. m/s? Question Source: Freedman College Physics 3e Publisher: Macmillan a =
- A van with mass m = 1000 kg is driving around a circular curve of radius r = 950 m when it begins to rain. The coefficients of static friction between the track and tires is μd = 0.59 when dry and μw = 0.17 when wet. Write an expression for the maximum magnitude of the force of static friction Ff acting on the van if μs is the coefficient of friction. What is the maximum tangential speed that the van can take the corner at without slipping when dry in m/s? What is the maximum tangential speed when wet in m/s?Number 4 needs answeredProblem 12: A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely rotate in a horizontal plane. The merry-go-round shown is initially at rest, has a radius R = 1.3 meters, and a mass M = 241 kg. A small boy of mass m = 46 kg runs tangentially to the merry-go-round at a speed of v = 1.8 m/s, and jumps on. Randomized Variables R = 1.3 meters M = 241 kg m = 46 kg v = 1.8 m/s