As shown in the figure, a ball of mass m isconnected to a string of length I to the top of a cone withfrictionless sides. The cone is resting on the horizontalsurface and the axis of the cone is vertical, making anangle of 30° with the side surface of the cone. The ballmoves in a horizontal circle at a uniform speed v centeredabout the vertical axis of the cone. If the velocity v of theball is greater than a certain velocity vo, it will lose contactwith the surface of the cone and the angle o between thestring and the vertical will no longer be 30°.30!i.Prove that v, = Jgl sin 30° tan 30°.ii.Determine the tension T, in the string if the velocity of the ball is v =3gl2(express you answer in terms of mg). Determine the angle p.

Given: Mass of the ball is m. Length of the string is l. Ball moves in horizontal circle with…

Answered: As shown in the figure, a ball of mass…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Please answer this NEATLY, COMPLETELY, and CORRECTLY for an UPVOTE. The wooden block (mass m = 0.5358 kg) is released from rest at A by a compressed spring (compressed length 0.6 m, undeformed length 1 m, spring constant k = 150 N/m). The block is allowed to slide through the rough horizontal surface (A to B), then along the smooth circular ramp (B to C, central angle θ = 47.2°, until the block is released after point C. Calculate the speed of the block at points B and C. Also, what is the magnitude of the normal force exerted to the block just before the block leaves the ramp? Neglect the geometry of the block. NOTE: Use Work-Energy Method to solve for the speeds; use Force-Mass-Acceleration (FMA) Method to compute for the normal force.
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