(696) Problem 11: Consider a horizontal spinning disc of radius R-6 m with a bal
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(696) Problem 11: Consider a horizontal spinning disc of radius R-6 m with a ball of mass m 4.2 kg attached with a clamp to the outer edge of the disc. The disc starts at rest, and the ball at the edge of the disk experiences a tangential acceleration of a33 m/st. The size of the ball is negligible erial. Otheexpertta.com 33% Part (a) Consider the disc at time t-17.2 s. Calculate the speed v, in meters per second, ofthe attached ball? Grade Summa Deductions Potential v- 3405.6 0% 10096 sin0 tan0 ( 789 HOME cos) cotan0 asin acos0 atan acotan) sinhO cosh0 t cotanh0 Submissions Attempts remaining:!9 (0% per attempt) detailed view END 0% Degrees Radians BACKSPACEEL CLEAR Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. 33% Part (b) At this same time t = 17.2 s, calculate the instantaneous tension Ft, în newtons, that is required by the clamp to keep the ball attached to the disc 33% Part (c) What is the net force F acting on the ball at t-17.2 s, in newtons?Explanation / Answer
(A) v = v0 + (a_t)t
v = 0 + (17.2)(33)
v = 567.6 m/s
(B) Ft = m a_c = m v^2 / R
Ft = 4.2(567.6^2/6) = 2.26 x 10^6 N
(C) F_perpendicular = m a_t = 4.5 x 33 < < Ft
so Fnet = Ft = 2.26 x 10^6 N
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