p201f08hw04b - MasteringPhysics: Assignment Print View Page...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
IUPhysicsP201F2009 Assignment 4b Due at 11:00pm on Sunday, September 28, 2008 Assignment Display Mode: View Printable Answers View Grading Details Conical Pendulum I Description: 2D pendulum with the mass moving in a horizontal circle. Given the length of the string and the angle from the vertical, find the linear and angular speed of the mass. (symbolic only) A bob of mass is suspended from a fixed point with a massless string of length (i.e., it is a pendulum). You are to investigate the motion in which the string moves in a cone with half-angle . Part A What tangential speed, , must the bob have so that it moves in a horizontal circle with the string always making an angle from the vertical? Part A.1 What's happening here? In this situation, which of the following statements is true? ANSWER: The bob has no acceleration since its velocity is constant. The tension in the string is less than . A component of the tension causes acceleration of the bob. If the tension in the string would be greater than . Part A.2 Find the vertical acceleration of the bob What is , the vertical component of the acceleration of the bob? Page 1 of 11 MasteringPhysics: Assignment Print View 9/17/2008 http://session.masteringphysics.com/myct/assignmentPrint?assignmentID=1144569
Background image of page 1

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

View Full DocumentRight Arrow Icon
Express your answer in terms of some or all of the variables , , and , as well as the acceleration due to ANSWER: = Part A.3 Find the tension in the string Find the magnitude, , of the tension force in the string. Express your answer in terms of some or all of the variables , , and , as well as the acceleration due to gravity . Hint A.3.a What approach to use You know the vertical acceleration of the bob, and so you know the net vertical force. The force due to the string has both vertical and horizontal components, and so breaking this force into components should allow you to find the magnitude of the tension force, which is . ANSWER: = Part A.4 Find the horizontal acceleration of the bob Find a general expression for , the magnitude of the bob's centripetal acceleration, as a function of the tangential speed of the bob. Express your answer in terms of and some or all of the variables , , and . Part A.4.a Find the radius of the bob's motion The bob moves uniformly in a circle of what radius ? Express your answer in terms of some or all of the variables , , and . ANSWER: = ANSWER: = Part A.5 Find the horizontal force Find the magnitude, , of the inward radial force on the bob in the horizontal plane. Express your answer in terms of some or all of the variables , , and , as well as the acceleration due to gravity . ANSWER: = Page 2 of 11 MasteringPhysics: Assignment Print View 9/17/2008 http://session.masteringphysics.com/myct/assignmentPrint?assignmentID=1144569
Background image of page 2
gravity . ANSWER:
Background image of page 3

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

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 11/29/2010 for the course PHYSICS PHYS310 taught by Professor Coleman during the Spring '10 term at Rutgers.

Page1 / 11

p201f08hw04b - MasteringPhysics: Assignment Print View Page...

This preview shows document pages 1 - 4. Sign up to view the full document.

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