Question 2. An air puck of mass m is tied to a string and allowed to revolve in a circle of radius r on a flat, frictionless table. The other end of the string passes through a small hole in the center of the circle, and a load of mass M is attached to the string. The suspended load remains in equilibrium while the puck revolves on the table. m M
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- Multiple-Concept Example 7 deals with the concepts that are important in this problem. A penny is placed at the outer edge of a disk (radius = 0.168 m) that rotates about an axis perpendicular to the plane of the disk at its center. The period of the rotation is 1.57 s. Find the minimum coefficient of friction necessary to allow the penny to rotate along with the disk. μs = Number Type your answer here Units Choose your answer hereA tire is tied to a rope that is tied to the branch of a tree so that the tire swings in a circular trajectory of radius h1 = 15.31 m. A child takes the tire to the top of a platform that is a height h2 = 12.60 m above the ground, sits in the tire, and swings from rest from the platform. The combined mass of the tire and child is 36 kg. The rope is taut when the child leaves the platform and you may neglect the mass of the rope. At the bottom of the circular trajectory, the child and tire are a height h3 = 0.99 m above the ground. include a diagram showing the physical sites (a) Calculate the speed of the child/tire at the bottom of the circular trajectory. m/s (b) Calculate the maximum tension in the rope as the child/tire swing back and forth. NTwo identical twins hold on to a rope, one at each end, on a smooth, frictionless ice surface. They skate in a circle about the center of the rope (the center of mass of the two-body system) and perpendicular to the ice. The mass of each twin is 78.0 kg. The rope of negligible mass is 3.5 m long and they move at a speed of 5.40 m/s. a)What is the magnitude, in kg · m2/s, of the angular momentum of the system comprised of the two twins? (b)They now pull on the rope and move closer to each other so that the rope between them is now half as long. Determine the speed, in m/s, with which they move now. (c)The two twins have to do work in order to move closer to each other. How much work, in joules, did they do?
- A roller coaster includes a long ramp that leads into a Loop-D-Loop. A carriage starts from rest at the top of the ramp and rolls downward (the system is frictionless) The value of gravitational acceleration is 4.8m/s, The mass of the carriage is 80kg, The initial height of the carriage is 5, and the radius of the Loop-D-Loop 10m 1. a) Draw a photo of the carriage at the top of the ramp, and another at the top of the Loop. b)Calculate the velocity of the carriage at the top of the Loop-D-Loop?Macmillan Learning The Atwood machine consists of two masses hanging from the ends of a rope that passes over a pulley. Approximate the pulley as a uniform disk with mass m₂ = 5.13 kg and radius rp=0.450 m. The hanging masses are m = 20.7 kg and mg = 12.7 kg. Calculate the magnitude of the masses' acceleration a and the tension in the left and right ends of the rope, 7₁, and TR. respectively. a= TL = TR = 2 m/s N m₁ 111A student places a coin on a flat disk. The flat disk is allowed to rotate around an axis through its center. The angular velocity of the flat disk gradually increases. The coin initially rotates with the disk but eventually slides off the disk. Which of the following is the best explanation for the coin's behavior? The kinetic friction was no longer large enough to provide the necessary angular acceleration The kinetic friction was no longer large enough to provide the necessary centripetal acceleration The static friction was no longer large enough to provide the necessary angular acceleration The static friction was no longer large enough to provide the necessary centripetal acceleration
- A small ball is attached to one end of light rope that has a length of 4.0 m. The other end of the rope is attached to the ceiling. The ball is held with the rope horizontal and released from rest. The ball moves in the motion of an arc of the circle. When the ball is at its lowest point, with the rope vertical, the tesion of the rope is 15.5 N. What is the mass of the ball?An air puck of mass 0.30 kg is tied to a string and allowed to revolve in a circle of radius 1.3 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of 1.5 kg is tied to it. The suspended mass remains in equilibrium while the puck on the tabletop revolves. (a) What is the tension in the string? N (b) What is the force causing the centripetal acceleration on the puck? (c) What is the speed of the puck? m/s Need Help? Read ItA tennis ball, starting from rest, rolls down the hill in the figure. At the end of the hill the ball becomes airborne, leaving at an angle of 35° with respect to the ground. Treat the ball as a thin-walled spherical shell, and determine the range x. Number i eTextbook and Media Save for Later 12 W S #3 1.8 m 135 Units Attempts: 0 of 3 used Submit Answer APR 2 tv I all A 80 F3 a F4 E $ 14 95 F5 MacBook Air % 50 6 C F6 27 & < F7 R T Y U D F G H * 00 8 DII F8 D F9 ( 9 O A F10 F11 t O { P [ J K L X C V B N M H command ? H command option
- Q9 A Physics teacher is teaching a class about the effect of friction. They assemble a track that has a vertical loop of radius 30.0 cm. A toy car of mass 50.0 g is released from rest at a height of 1.00 m at the beginning of the track. The car rolls down the track and follows the loop before exiting the track. The teacher asks the class to calculate the speed of the toy car if the coefficient of friction were 0. Im 30 cm What is the calculated speed of the toy car as it reaches point X? (A) 1.49 ms (B) 2.21 ms! (C) 2.80 ms! (D) 7.84 msA puck of mass m = 1.10 kg slides in a circle of radius r = 19.0 cm on a frictionless table while attached to a hanging cylinder of mass M = 4.10 kg by a cord through a hole in the table. What speed keeps the cylinder at rest?a. What is the magnitude of acceleration of the block? b. What is the magnitude of the tension force from the block on the cylinder?