Motion on the inclined plane when the surface is smooth, Mechanical Engineering

Motion on the inclined plane when the surface is smooth:

Sol: WHEN THE SURFACE SMOOTH

 

1400_Motion on the inclined plane when the surface is smooth.png

The Figure given shows a body having weight W, sliding down on a smooth inclined plane. Assume,

θ= Angle which is made by inclined plane with horizontal
a = Acceleration of the body

m = Mass of the body = W/g

As the surface is smooth that is frictional force is zero. Hence force acting on body is its own weight W and reaction R of the plane.

The resolved part of W perpendicular to plane is Wcosθ, which is balanced by R, while the resolved part parallel to plane is Wsinθ, which produced acceleration down the plane.

Net force acting on body down the plane

F = W.sinθ  , but F = m.a

m.a = m.g.sinθ

That is,             a = g.sinθ     (For body move down because of self weight.)

and,                   a = -g.sinθ    (For body move up because of some external force) 

Posted Date: 10/19/2012 7:29:58 AM | Location : United States







Related Discussions:- Motion on the inclined plane when the surface is smooth, Assignment Help, Ask Question on Motion on the inclined plane when the surface is smooth, Get Answer, Expert's Help, Motion on the inclined plane when the surface is smooth Discussions

Write discussion on Motion on the inclined plane when the surface is smooth
Your posts are moderated
Related Questions
A "perfect" square (shown in dashed lines in the sketch below) with initial dimensions of 0.5 x 0.5 inch is drawn on the surface of a thin aluminum structure (E = 10x10 6 psi, v =

how to prove that heat and work is path function?

Hill Roads: Alignment Selection and Geometric Design Standards Here, you have already learnt how an alignment of a hill road has to be selected. The selection of a g


Belt tension for V-belt: What is V-belt. Drive expression of Ratio in belt tension for V-belt Sol: The power from one shaft to the other shaft can be transmitted with t

Q. Steam Hot Service Insluation Thicknesses? Steam Hot Service Insluation Thicknesses are specified based on the following design criteria: Average Annual Climatic Condi


What are types of raft foundation? Define according to rigid mat deign. One of the common types of raft foundation is the flat concrete slab 0.75 to 2.00 m thick with a two way

Q.  A wooden beam of the rectangular cross section is subjected to bending moment of 5KNm. If the depth of section is to be double the breadth and stress in wood is not to exceed 6

need help to calculate how much a base must weigh to keep a object on to stable when a force is applied from the side