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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- The figure shows a 2.38-kg ball attached to one end of an ideal string of length L = 1.24 m. The string's other end is held fixed as the ball swings around a vertical circle from rest at point A where 0 = 30°. Find the magnitude of tension in the string at point B, assuming the string remains taut and there is no friction or air resistance. A v0 = 0 T = L 0 B V NA gymnast swings on the high bar as shown in the figure. Starting from rest directly over the bar, he swings around the bar while keeping his arms and legs outstretched. Treating the gymnast as though his entire mass were concentrated at a point y=0.87 m from the bar, determine his speed as he passes under the bar at position A. Note that you do not need know his mass to solve this problem. It is asking for the units in m/sA 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 NThis 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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