Concept explainers
(a)
The force diagram for cylinder and the force exerted by the string on the cylinder, by applying the translational form of Newton’s second law. The radius of the cylinder is
(b)
The rotational inertia of the solid cylinder. The radius of the cylinder is
(c)
The rotational acceleration of the cylinder on applying the rotational form of Newton’s second law. The radius of the cylinder is
(d)
To explain: Whether the answer in part (c), is consistent with the application of
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College Physics
- Construct Your Own Problem Consider an amusement park ride in which participants are rotated about a vertical axis in a cylinder with vertical walls. Once the angular velocity reaches its full value, the floor drops away and friction between the walls and the riders prevents them from sliding down. Construct a problem in which you calculate the necessary angular velocity that assures the riders will not slide down the wall. Include a free body diagram of a single rider. Among the variables to consider are the radius of the cylinder and the coefficients of friction between the riders' clothing and the wall.arrow_forwardBIO The arm in Figure P10.35 weighs 41.5 N. The gravitational force on the arm acts through point A. Determine the magnitudes of the tension force F1 in the deltoid muscle and the force Fs exerted by the shoulder on the humerus (upper-arm bone) to hold the arm in the position shown. Figure P10.35arrow_forwardAs shown in Figure OQ10.7, a cord is wrapped onto a cylindrical reel mounted on a fixed, friction less, horizontal axle. When does the reel have a greater magnitude of angular acceleration? (a) When the cord is pulled down with a constant force of 50 N. (b) When an object of weight 50 X is hung from the cord and released, (c) The angular accelerations in parts (a) and (b) are equal, (d) It is impossible to determine.arrow_forward
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