We have a marble that rolls along the inside of a semicircular track made of copper tubing. It is lying on a level table that's parallel to the floor. As the marble leaves the track at point 0, does it follow path A, path B, or path C? Please explain your answer:
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We have a marble that rolls along the inside of a semicircular track made of copper tubing. It is lying on a level table that's parallel to the floor. As the marble leaves the track at point 0, does it follow path A, path B, or path C? Please explain your answer:
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- I need some help. Can you walk me through how to solve this problem? To throw the discus, the thrower holds it with a fully outstretched arm. Starting from rest, he begins to turn with a constant angular acceleration, releasing the discus after making one complete revolution. The diameter of the circle in which the discus moves is about 1.9 m. If the thrower takes 1.2 s to complete one revolution, starting from rest, what will be the speed of the discus at release?A child sits on a merry‑go‑round that has a diameter of 6.00 m. The child uses her legs to push the merry‑go‑round, making it go from rest to an angular speed of 18.0 rpm in a time of 37.0 s. What is the angular displacement Δθ of the merry‑go‑round, in units of radians (rad), during the time the child pushes the merry‑go‑round?A large wind turbine (typical of the size and specifications of a turbine that you see in a modern wind farm) has three blades connected to a central hub. The blades are 50 m long and rotate at 10 rpm. What angular speed ω does this correspond to? What is the speed ν of the tip of a blade? What is the speed of a point 25 m from the hub?
- A uniform thin spherical shell of mass M and radius R rotates about a vertical axis on frictionless bearings. A massless cord passes around the equator of the shell, over a pulley of rotational inertia I and radius r, and is attached to a small object of mass m. There is no friction on the pulley’s axle; the cord does not slip on the pulley. Determine the expression for the speed of the object after it falls a distance h from rest.A ball that is a uniformly hollow spherical shell with a mass of m and radius r rolls down an inclined plan without slipping. The inclined plane is at an angle theta from horizontal and has a length L. What is the speed at the bottom for the ball?A solid sphere is released from the top of a ramp that is at a height h, = 1.85 m. It rolls down the ramp without slipping. The bottom of the ramp is at a height of h, = 1.48 m above the floor. The edge of the ramp is a short horizontal section from which the ball leaves to land on the floor. The diameter of the ball is 0.12 m. h2 (a) Through what horizontal distance d, in meters, does the ball travel before landing? (b) How many revolutions does the ball make during its fall? rev
- The string is massless. The pulley turns on frictionless bearings. Consider the pulley as a uniform disk of mass 2.50 kg and radius 5.00 cm.The mass m1= 4.00 kg, and the mass m2= 5.00 kg. The system is released from rest. Find the tensions, T1& T2, in the horizontal and vertical portions of the string. The horizontal surface below m1 is smooth.You are building a display for a children's science museum in which a uniform, solid sphere of radius 0.074 m starts at rest at the top of a "hill" and rolls, without slipping, down a track and around a loop-the-loop of radius R = 1.23 m. You have already determined that the ball has to be moving at a speed no less than 3.37 m/s at the top of the loop in order to make it around the loop without falling. Note: You should consider whether the ball will be above or below the track at the top of the loop. What is the minimum height of the "hill" in order to ensure that this happens?How would I solve for angular acceleration?