Two small cylindrical plastic containers with flat bottoms are placed on a turntable that has a smooth flat surface. Canister A is empty; canister B contains lead shot. Each canister is the same distance r from the center. The coefficient of static friction between the canisters and the turntable is ms. When the speed of the turntable is gradually increased,
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- A mixing beater consists of three thin rods, each 10.9 cm long. The rods diverge from a central hub, separated from each other by 120, and all turn in the same plane. A ball is attached to the end of each rod. Each ball has cross-sectional area 3.80 cm² and is so shaped that it has a drag coefficient of 0.680. The drag force on each ball is R = 1/2 D? A ✓ where D is the drag coefficient, ? the density of the fluid, A the cross-sectional area, and the speed of the object moving through the fluid. (a) Calculate the power input required to spin the beater at 1000 rev/min in water. (b) The beater is taken out of the water and held in air. If the input power remains the same (it wouldn't, but if it did), what would be the new rotation speed?A Ferris wheel has a diameter of 10.0m and makes one revolution in 8.00 seconds. A girl weighing 321 N is sitting on one of the benches attached at the rim of the wheel. What is the force exerted on her by the bench as she passes through the lowest point of her motion?Skateboarder is attempting to make a circular arc of radius r= 15 m in a parking lot. The total mass of the skateboard and skateboarder is m= 99kg. The coefficient of static friction between the surface of the parking lot in the wheels on the skateboard is us = 0.58. (A) what is the maximum speed, in meters per second, he can travel through the arc without slipping? (b) he speeds up very slightly and begins to slide. The coefficient of kinetic friction is up=0.18. What is the new magnitude of his radio acceleration in m/s^2? 
- Consider an hydrogen-like atom with a very light particle of mass m rotating around a heavy particle of mass M which is much greater than m. The charge of the heavy particle is -e and the charge of the lighter particle is +3e. The light particle executes uniform circular motion about its center of rotation which is where the heavy particle is located. Assume that the centripetal acceleration of the lighter particle is due essentially only to the Coulomb force of attraction between the two particles. Given that the orbital angular momentum of the light particle around its center of rotation is L = mvr =ħ, where v is the lighter particle's speed and r is its distance from the center of rotation, determine the speed of the lighter particle relative to the heavy particle. ke² HINT: you might want to make use of the relation hc 1 Recall that: ħ = 1.06 x 10-34 J-s; k= 4π€0 137. = 9 x 10⁹ Nm²/C² and e = 1.6 × 10-19 C.A Physic student has a 0.25 m length of string. She attached one end to the ceiling and the other end to a toy plane. If the toy plane weighs 0.5 kg, find the maximum speed of the plane and the angle that it makes with the vertical if the maximum tension in the string before it snaps is 10 N.The figure shows a conical pendulum, in which the bob (the small object at the lower end of the cord) moves in a horizontal circle at constant speed. (The cord sweeps out a cone as the bob rotates.) The bob has a mass of 0.040 kg, the string has length L = 1.1 m and negligible mass, and the bob follows a circular path of circumference 1.0 m. What are (a) the tension in the string and (b) the period of the motion?
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- The figure shows a conical pendulum, in which the bob (the small object at the lower end of the cord) moves in a horizontal circle at constant speed. (The cord sweeps out a cone as the bob rotates.) The bob has a mass of 0.025 kg, the string has length L = 1.2 m and negligible mass, and the bob follows a circular path of circumference 0.69 m. What are (a) the tension in the string and (b) the period of the motion? Сord L. Bob (a) Number i Units (b) Number i UnitsIn the figure, a small block of mass m = 0.021 kg can slide along the frictionless loop-the-loop, with loop radius R = 13 cm. The block is released from rest at point P, at height h = 5R above the bottom of the loop. What are the magnitudes of (a) the horizontal component and (b) the vertical component of the net force acting on the block at point Q? (c) At what height h should the block be released from rest so that it is on the verge of losing contact with the track at the top of the loop? (On the verge of losing contact means that the normal force on the block from the track has just then become zero). P h 2T R YA 24 g block sits at the center of a turntable that rotates at 80 rpm. A compressed spring shoots the block radially outward from the center along a frictionless groove in the surface of the turntable. Calculate the turntable's angular speed when the block reaches the outer edge. Treat the turntable as a solid disk with mass with mass 200 g and diameter 54.0 cm. Express your answer in revolutions per minute.