What is the horizontal component of the force exerted by the hinge on the beam
Favorites|Homepage
Subscriptions | sitemap
HOME > > What is the horizontal component of the force exerted by the hinge on the beam

What is the horizontal component of the force exerted by the hinge on the beam

[From: ] [author: ] [Date: 11-12-23] [Hit: ]
a) What is the horizontal component of the force exerted by the hinge on the beam? (Use the `to the right as + for the horizontal direction.b)What is the magnitude of the force that the beam exerts on the hinge?-Resolving mg into two components mg cos θ and mg sin θ,and since tension T is perpendicular to the beam and since the mg acts at the center of the beam ,mg sin θ* cos θ = 37.......
A 37.4 kg beam is attached to a wall with a hinge and its far end is supported by a cable. The angle between the beam and the cable is 90o. If the beam is inclined at an angle of θ = 16.5° with respect to horizontal.
a) What is the horizontal component of the force exerted by the hinge on the beam? (Use the `to the right' as + for the horizontal direction.)

b)What is the magnitude of the force that the beam exerts on the hinge?

-
Resolving mg into two components mg cos θ and mg sin θ,
and since tension T is perpendicular to the beam and since the mg acts at the center of the beam ,
mg cos θ = 2 T and the force on the hinge perpendicular to the beam = T
The force along the beam = mg sin θ
=======================
Answer for a)
mg sin θ* cos θ = 37.4 *9.8 sin 16.5 *cos 16.5=99.8 N

Answer for b)
mg sin θ = 37.4 *9.8 sin 16.5=104.1 N
========================
1
keywords: of,on,force,is,beam,hinge,horizontal,by,component,What,exerted,the,What is the horizontal component of the force exerted by the hinge on the beam
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .