Question

An accident, luckily with no casualties, happens at an amusement park. The accident involves a high- speed carousel, composed of: A series of radial arms of radius R = 10 m, mounted on a 3 m tall vertical shaft (h - 3 m), rotating at a constant angular speed wo = 2.5 rad/s • a series of seats attached to the at the free ends of each arm (negligible mass) 10 m KIOSK One of the seats, carrying a 65 kg passenger (mp), brakes during operation at nominal speed. The passenger is therefore released and after a short flight, he lands on a pop-corn kiosk (of negligible height), luckily unharmed. An investigation has been opened and you, as a member of the investigation committee, have been asked to reconstruct the details of the accident. The carousel and pop-com kiosk are installed on flat ground (ie the base of the shaft is aligned with the kiosk). 1. What was the radial tension on the arm due to the mass of the passenger immediately before the accident occurred? (Show all working. INCLUDE A FBD) Hint: What forces are there in the system? 2. What was the velocity of the passenger just before the accident? 3- What was the initial distance between the kiosk and the carousel's shaft?

Answer 1

93 m Given, Ralom h = 3m Worrisrad Is m. 65 kg 1. Radial Tension T Farm mg m mwer Centrifugal force will was act outword. ng gravity acts down words so, by force - balance suc h To mwer SANTA 65x25x10 - EPSON Ts 40 62.5 NEAny NUL20

2. the accident The velocity of Passanger Just before Over 90 u U V. 2.5010 - 25 m/s & Ans 1 .0 kiosk time to seach kiosk offen falling from seat

b el sold out no S- Uit - 1 gg t² >> -350- 4x9.81x+? 2) t = 10.6116 sec = 0.782 sec Now, = Uxt + 1 g +2 7 H = 25X0.782 to je 2 19.55 m to 20 Now the Kiosk , sinitial distance between & Carousel's Shaft [ 19.8512102 I & X 208.2 2.96 m Ans 2 200 NX