hw5 - patel(kp9583 HW5 Mackie(20211 1 This print-out should...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: patel (kp9583) HW5 Mackie (20211) 1 This print-out should have 8 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 (part 1 of 2) 10.0 points An amusement park ride consists of a rotating circular platform 8 . 69 m in diameter from which 10 kg seats are suspended at the end of 2 . 21 m massless chains. When the system rotates, the chains make an angle of 21 . 8 with the vertical. The acceleration of gravity is 9 . 8 m / s 2 . l d What is the speed of each seat? Correct answer: 4 . 4998 m / s. Explanation: In the vertical direction we have T cos = mg , where T is the tension in the chain. In the horizontal direction we have T sin = mv 2 r . Since r = sin + d 2 = (2 . 21 m) sin21 . 8 + 8 . 69 m 2 = 5 . 16572 m , we have v = radicalbig g r tan = radicalBig (9 . 8 m / s 2 ) (5 . 16572 m) tan21 . 8 = 4 . 4998 m / s . 002 (part 2 of 2) 10.0 points If a child of mass 38 . 5 kg sits in a seat, what is the tension in the chain (for the same angle)? Correct answer: 511 . 909 N. Explanation: M = 38 . 5 kg From the first part we have T cos = ( m + M ) g T = ( m + M ) g cos = (10 kg + 38 . 5 kg) (9 . 8 m / s 2 ) cos 21 . 8 = 511 . 909 N . 003 (part 1 of 2) 10.0 points A small metal ball is suspended from the ceil- ing by a thread of negligible mass. The ball is then set in motion in a horizontal circle so that the thread describes a cone. The acceleration of gravity is 9 . 8 m / s 2 . v 9 . 8 m / s 2 2 m 6 . 2 kg 2 4 What is the speed of the ball when it is in circular motion? Correct answer: 1 . 88398 m / s. Explanation: Let : = 2 m , = 24 , g = 9 . 8 m / s 2 , and m = 6 . 2 kg . patel (kp9583) HW5 Mackie (20211) 2 Use the free body diagram below. T mg The tension on the string can be decom- posed into a vertical component which bal- ances the weight of the ball and a horizontal component which causes the centripetal ac- celeration, a centrip that keeps the ball on its horizontal circular path at radius r = sin ....
View Full Document

This note was uploaded on 12/10/2009 for the course PHYSICS 2021 taught by Professor Mihalisin during the Fall '09 term at Temple.

Page1 / 5

hw5 - patel(kp9583 HW5 Mackie(20211 1 This print-out should...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online