PHYS310_Exam3_early_solutions

PHYS310_Exam3_early_solutions - PHYS 310 Exam3 Name Problem...

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

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: PHYS 310: Exam3 November 18, 2011 Name: Problem 1 (30 points) A circular hoop of radius a swings as a physical pendulum about a point on the circumference. Find the period of oscillation for small amplitude if the axis of rotation is: (a) (15 points) Normal to the plane of the hoop (b) (15 points) In the plane of the hoop. (a) 2 cm I ma ⊥ = (all mass in rim) 2 2 2 2 rim I ma ma ma ⊥ = + = 2 2 2 rim I a T mga g π π ⊥ ∴ = = (b) 2 2 z x y cm I I I I ma = + = = P ( 29 cm I ⊥ = 2 2 cm ma I ∴ = P hence 2 2 2 3 2 2 rim ma I ma ma = + = P 3 2 2 2 rim I a T mga g π π ∴ = = P PHYS 310: Exam3 November 18, 2011 Name: Problem 2 (30 points) A ball is projected without initial rotation, at speed v up a rough inclined plane of inclination θ and coefficient of sliding friction μ k . Find the position of the ball as a function of time, and determine the position of the ball when pure rolling begins. Assume that μ k >2/7 tan θ . (Hint: the ball begins pure rolling when v a ϖ = )....
View Full Document

This note was uploaded on 12/07/2011 for the course PHYS 310 taught by Professor Jones,m during the Fall '08 term at Purdue.

Page1 / 3

PHYS310_Exam3_early_solutions - PHYS 310 Exam3 Name Problem...

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

View Full Document
Ask a homework question - tutors are online