Question

Problem #3 You've taken your neighbor's young child to the carnival to ride the rides. She wants LTU The Rocket. Eight rocket-shaped cars hang by chains from the outside edge of a large steel disk. A vertical axle through the center of the ride turns the disk, causing the cars to revolve in a circle. You've just finished taking physics, so you decide to figure out the speed of the cars while you wait. You estimate that the disk is 6 m in diameter and the chains are 7 m long. When the ride reaches a certain angular speed, then the cars swing out until the chains are 30° from vertical. A. Draw the free body diagram of a car. B. Write Newton's laws in the two directions of forces. C. Solve the equations in part B and find the linear speed of the car. D. Find the tension in the cable. What acts as a centripetal force on the car?

Answer 1

A R- 3 m, o-30 L-7m, R Tcoso my2 TSina R+ LSina) mg TCoso mg t T Since mv2 (R+LSino) Dividing esn-) by ) tana =v2 9 (Rt LSine) v2 9(R+LSne). tane V=9.8x tan30 (3+7 Sn30) V= 6.06umls o nion, it ne cessavy to know mau. Let nm be ma o T - mg Cosa T Sma provido Cantiptal foru on caT