A horizontal turntable is a disk free to rotate frictionlessly around its centra

Question

A horizontal turntable is a disk free to rotate frictionlessly around its central axis. Initially it is at rest, and a coin is resting on it at position A (a distance TA from the axis), as shown here. Then a constant torque, tau, is applied to the turntable (around its central axis) for a certain time interval. delta t. At end of delta t. the torque ceases. At that very same moment (the end of delta t). the coin slips and begins to slide across the surface of the turntable. It stops, slipping at position B (a radial distance d from A), as shown. because it encounters an obstruction in the turntable surface. The mass of the coin is m. The moment of inertia of the turntable without the coin), around its central axis, is I. After the coin has arrived at position B (after it has stopped slipping), the friction force on the coin is half the maximum possible. Find the steady force magnitude exerted by the obstruction on the coin after it has arrived at position B (after it has stopped slipping). You may consider these values as known: TA, tau, delta t, d, m, I, g. This is an ODAVEST item-use the full seven-step problem-sohing protocol-but keep in mind that you're not being asked to actually solve for the final expression. In fact, you're not being asked to do any math at all- nor even any algebra. Rather, for the Sollve step. you are to write a series of succinct instructions on how. to solve this problem. Pretend that your instructions will be given to someone who knows math but not physics. And for the Test step, you should consider the situation and predict how the solution would change if the data were different-changing one data value at a time. A record with a 10 cm radius and 200 g mass is dropped vertically onto a freely rotating turntable (meaning the turntable is not being driven by a motor). Frictional forces act to bring the record and turntable to a common angular speed. The radius of the turntable is also 10 cm. and the mass is 2 kg. The initial angular velocity of the turntable is 5 rad/s. What is the final angular velocity of the record and the turntable? If there is a net frictional torque of 0.1 N-m. how long will it take for the record and turntable to stop rotating? An old firework shell from last year's July 4th show- was launched but failed to explode. Instead, it fell and came to rest, hanging by a thread from a tree branch above a school playground. Its mass is 7.98 kg. Now- (many months later), it finally explodes-into three pieces. Immediately after the explosion: Piece A (mA = 1.30 kg) is moving horizontally eastw-ard at 32.4 m/s. Piece B (mB = 0.65 kg) is moving horizontally westward at 64.8 m/s. All three pieces land eventually somewhere on the playground. As it happens. Piece C lands on (and sticks to) the surface of the merry-go-round (I = 120 kg m'). at a distance r = 1.30 m from its center hub. as shown here. The surface of the merry-go-round is 7.19 m lower in elevation than piece c the position of the shell w-hen it was hanging from the tree. Just before piece C lands on it. the merry-go-round is rotating at a rate of 2.50 rad/s. At what rate is it rotating just after piece C lands on it? An ideal spring (stiffness = 910 N/m) with a frictionless "bumper." as shown, is attached along a level surface to a wall and compressed by a distance of 0.320 from its relaxed equilibrium position. A ball (a solid, uniform sphere, mass = 3.68 kg. radius = 0.465 m) is placed in front of the bumper. When the spring is released, the ball slips ("skids"-i.e. it doesn't roll) horizontally for a distance of 0.791 m. Then it rolls without slipping thereafter, up the ramp and off the end. which is 0.879 m above the level surface. The coefficient of kinetic friction for the entire surface and ramp is 0.245. Find the rotational speed of the ball as it leaves the ramp. Neglect air resistance.

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try to post one question at a time so that we can work it out accordingly. such a long question cannot be answered.

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