17-106. The truck carries the spool which has a weight of 500 Ib and a radius of gyration of kg = 2 ft. Determine the angular acceleration of the spool if it is not tied down on the truck and the truck begins to accelerate at 3 ft/s². Assume the spool does not slip on the bed of the truck.
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- 2A diver performs a flip in the air. The radius of gyration is 0.43 when the diver initially leave the board and the diver is rotating at an angular velocity of 6.3 rad/sec. What is the linear velocity of the head when they decrease their radius of gyration to 0.24. The distance from the head to the center of gravity of the individual is 0.3 meters?16-146. A ride in an amusement park consists of a rotating arm AB that has an angular acceleration of aдB = 1 rad/s² QAB when @AB = 2 rad/s at the instant shown. Also at this instant the car mounted at the end of the arm has an angular acceleration of a = {-0.6k) rad/s² and angular velocity of w' (-0.5k) rad/s, measured relative to the arm. Determine the velocity and acceleration of the passenger C at this instant. = w' = 0.5 rad/s 10 ft 60° y WAB = 2 rad/s 30° x Probs. 16-145/146 B 2 ft
- The spool has a mass, m, and a radius of gyration, kG. An inextensible is wrapped around the inner diameter of the spool and is attached to the wall a point A. The coefficient of friction between the floor and the spool is mu. If the spool has the initial angular velocity given as omega naught, how far will the center, G, move before stopping?An electric motor rotating a workshop grinding wheel at 1.08 x 10 rev/min is switched off. Assume the wheel has a constant negative angular acceleration of magnitude 2.06 rad/s? (a) How long does it take the grinding wheel to stop? Note that the time required for the wheel to stop is the same as the time for the wheel to start from rest and reach the given angular speed with the same magnitude angular acceleration, s (b) Through how many radians has the wheel turned during the time interval found in part (a)? It might be helpful to translate this problems into linear variables (a car traveling with an initial speed and then slowing down with a constant negative acceleration), rad Need Help? Road MasterWhat is the angular acceleration and how long will it take to decrease rotational speed by 27 rad/s?
- (7%) Problem 10: A soccer player extends her lower leg in a kicking motion by exerting a force with the muscle above the knee in the front of her leg. Suppose she produces an angular acceleration of 30.5 rad/s² and her lower leg has a moment of inertia of 0.75 kg-m? . What is the force, in newtons, exerted by the muscle if its effective perpendicular lever arm is 2.1 cm? Grade Summary F = | Deductions 0% Potential 100% Submissions tan() sin() cotan() atan() cosh() oDegrees cos() 7 8. 9. НОME Attempts remaining: 10 (0% per attempt) detailed view asin() E 1^^ 4 acos() sinh() cotanh() 5 * acotan() tanh() 2 3 + END - Radians VOl BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: Feedback: 0% deduction per feedback. 1.(2) The slender pole AB slides on the surface of the half-cylinder as its lower end A is pulled to the right on the floor with a constant velocity v = 0.5 m/s. If the radius of the half-cylinder is r = 0.2 m, determine the angular acceleration of the pole when x = 0.6 m. Ans: 0.522 rad/sec² CW AA disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at 10.0 rev/s; 65.0 revolutions later, its angular speed is 16.0 rev/s. Calculate (a) the angular acceleration (rev/s?), (b) the time required to complete the 65.0 revolutions, (c) the time required to reach the 10.0 rev/s angular speed, and (d) the number of revolutions from rest until the time the disk reaches the 10.0 rev/s angular speed. (a) Number i Unit (b) Number i Unit (c) Number i Unit (d) Number i Unit > > >