Cons. of Mech. Energy Problem
Favorites|Homepage
Subscriptions | sitemap
HOME > Physics > Cons. of Mech. Energy Problem

Cons. of Mech. Energy Problem

[From: ] [author: ] [Date: 11-10-07] [Hit: ]
i can calculate it using your help!PE at start = m g h where h is the height above the bottom of the swing, draw a picture to show that this distance is 0.once you have this value of V, use conservation of energy again to find the height H,and this value of H = L(1-cos(Theta))where L = 0.......
A simple pendulum has a length of 0.75 m and a bob of mass 0.6 kg. When the string is at 30º to the vertical, the bob has a speed of 2 m/s.

(a) What is the maximum speed of the bob?
(b) What is the maximum angle to the vertical?

A clearly written formula (with labels) to solve these questions would be enough, no need to fully solve the answers, i can calculate it using your help!

-
PE at start + KE at start = KE at bottom of swing

PE at start = m g h where h is the height above the bottom of the swing, draw a picture to show that this distance is 0.75(1-cos30) meters

then you have

m g h + 1/2 m(2)^2 = 1/2 m V^2 where V is the max speed at bottom of the swing

cancel common factors and solve for V

once you have this value of V, use conservation of energy again to find the height H, the bob rises to on the other side:

1/2 m V^2 = m g H => H = V^2/2g

and this value of H = L(1-cos(Theta)) where L = 0.75m and theta is the max angle when the bob is at its greatest height
1
keywords: Problem,Mech,of,Energy,Cons,Cons. of Mech. Energy Problem
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .