A heavy ball with a weight of 150 N (m = 15.3 kg) is hung from the ceiling of a lecture hall on a 4.6-m-long rope. The ball is pulled to one side and released to swing as a pendulum, reaching a speed of 5.6 m/s as it passes through the lowest point. What is the tension in the rope at that point?
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- You are standing 2.7 m from the centre of a spinning merry-go-round holding one end of a string tied to a 120 g mass. The merry-go-round has a period of 3.9 s. (a) Draw a system diagram of the situation. (b) Draw an FBD of the mass in Earth’s frame of reference. (c) Draw an FBD of the mass in the merry-go-round’s rotating frame of reference. (d) What angle does the string make with the vertical? (e) Determine the magnitude of the tension in the string.A 215-g pendulum with a massless cord of length r = 1.00 m swings in a vertical plane (see figure). When the pendulum is in the two horizontal positions theta = 90° and theta = 270°, its speed is 4.20 m/s. given (c) Find the magnitude of the tangential acceleration (in m/s2) for these positions. (d) Draw a vector diagram to determine the direction of the total acceleration for these two positions. (e) Calculate the magnitude (in m/s2) and direction (in degrees above or below the horizontal) of the total acceleration.A 30.0 cm long pendulum of mass m = 0.030 kg moves past the bottom of its swing with a speed v = 1.10 m/s. What is the tension T in the string? 0.121 N 0.173 N 0.294 N 0.415 N
- light rope of length 1.40 m is attached to the ceiling.A small steel ball with mass 0.200 kg swings on the lower end of therope as a pendulum. As the ball swings back and forth, the angle u betweenthe rope and the vertical direction has a maximum value of 37.0°.(a) What is the tension in the rope when θ = 37.0°? (b) What is the tensionwhen θ = 25.0°?This time the pendulum is 2.37 m long. Suppose you start with the pendulum hanging vertically, at rest. You then give it a push so that it starts swinging with a speed of 2.64 m/s. What maximum angle (in degrees) will it reach, with respect to the vertical, before falling back down? 31.8 degrees 19.1 degrees 50.9 degrees 41.4 degreesA bucket of mass equals 18.7 kg(mb) is knocked off the side of a wall. The bucket falls 18.6 m to the bottom of the well. Attached to the bucket is a light rope that wraps around a cylinder of radius equals 48.7 cm and mass(mc) equals 3.26 kg. How fast is the bucket falling just before it hits the ground
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