2 metal disks, one with radius 20 cm and mass 0.5 kg, and the other with radius Sm 50 cm and mass 1 kg, are welded together and mounted on a frictionless axis through their common center. A light string is wrapped around the edge of the smaller disk, and a 1.50 kg block is suspended from the free end of the string. If the block is released from rest at a distance of 2.40 m above the floor, what is its speed just before it strikes the floor? answer in m/s, use g=10 m/s² ed
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- 8. A pendulum consists of a 2.0kg stone on a 4.0m string of negligible mass. The stone has a speed of 8.0 m/s when it passes its lowest point. What is the speed when the string is at 60° to the vertical? ID 60° 4.0 m V= ? 2.0 kg 8.0 m/s (a) (b)A pendulum consists of a bob of mass m and a string of constant length 1 = 63.0 cm and negligible mass. The free end of the string is attached to a fixed point A and the pendulum swings to-and-fro in a vertical plane. A 1-h speed of bob = h 30° U If the pendulum bob has a speed u = 3.10 m s¹ at the lowest point of its swing, what is the speed of the bob when the string makes an angle of 30° with the vertical, as indicated in the diagram? Give your answer by entering a number, specified to an appropriate number of significant figures, in the empty box below. 1 ms-1.2. A 1 m long rod of mass m = 0.2 Kg is hinged at one end and connected to a wall. It is held out horizontally, then released. With respect to the reference XY, whose origin is at the hinge (as shown in the figure), calculate: (22 points) The speed of the tip of the rod at the moment it hits the wall? (11 points) The kinetic energy of the rod at the moment it hits the wall? Wall Vtip Y L= 1 m X
- 2. A simple pendulum is suspended from the ceiling by means of a string of length of 1.82 m, Assume that there is no friction or air resistance.Suppose you were to release the pendulum from rest, starting from an angle of 42.9 degrees to the vertical. What will be the speed of the pendulum at the instant it reaches an angle of 12.9 degrees above the vertical? 0.95 m/s 4.64 m/s 2.94 m/s 3.09 m/sA vertical spring stretches by 0.15 m to its new equilibrium length when a 3.0 N weight is attached. What is the spring constant?An energy storage system based on a flywheel (a rotating disk) can store a maximum of 4.0 MJ when the flywheel is rotating at 20,000 revolutions per minute. What is the moment of inertia of the flywheel?
- 3. A 20 kg steel collar is being raised from rest at position 1 by a 300 N force applied as shown. The collar is guided by a smooth rod and a spring whose free length is 0.3m. Find the speed of the collar as it reaches position 2. 300 N Position 2 60 K = 150 N/m 1 m Position 1 0.6m-A recently patented pile driver pounds piles into the ground by launching 15 kg bowling balls from a spring loaded gun, up around a frictionless loop-de-loop of radius r= 8 m, and down onto the pile. When the spring is compressed by As = 2 m, the bowling balls have a speed of 20 m/s at the top of the loop, as shown. (You may v = 20 m/s r=8 m assume g = 10 m/s².) k ? As = 2 m Find the spring constant of the gun. pile A) Zero B) 100 N/m C) 2700 N/m D) 150 N/m E) 1300 N/m O A O B O D O EProblem 10: An elementary student of mass m = 22 kg is swinging on a swing. The length from the top of the swing set to the seat is L = 3.3 m. The child is attempting to swing all the way around in a full circle.
- A small block with mass m = 17 kg slides on a frictionless track from some initial height through a loop-the-loop with radius R = 6.9 m and then along a flat straight section at the height R/2 above the ground. Assume the block never leaves the smooth track at any point on its path and the track is frictionless What is the minimum speed the block must have at the top of the loop to make it around the loop-the-loop without leaving the track? At what height above the ground must the block begin from rest to make it around the loop-the-loop? It turns out that engineers who designed the loop-the-loop didn’t really know physics – when they made the ride, the initial height was only as high as the top of the loop-the- loop. To account for this honest mistake, they decided to give the block an initial velocity right at the beginning. How fast do they need to push the block at the beginning (now at a height equal to the top of the loop-the-loop) to get it around the loop-the-loop…The string in the figure is L = 112 cm long, has a ball attached to one end, and is fixed at its other end. The distance d from the fixed end to a fixed peg at point P is 87 cm. When the initially stationary ball is released with the string horizontal as shown, it will swing along the dashed arc. What is its speed when it reaches (a) its lowest point and (b) its highest point after the string catches on the peg? LThis question have changed to ask the factor, how should I answer it? thank you so much!