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
Determine acceleration of weight: Two pulleys of radii 200 mm and 400 mm are mounted co-axially and rigidly on a common-shaft. These pulleys have a overall mass of 28 kg an


Ask question EMC#Minimum 100 words accepted#

Explain POINT ANGLE - Angle of drills It is also known as a cutting angle. Its most commonly used value for a large variety of materials is 118.Though,its varies from 80 to 140


For the beam shown below, we need to determine: (i)  the support reactions R L and R R (ii) the shear force and bending moment diagrams (iii) the maximum stress in the b

Slip of belt: Sol:   When the driver pulley rotates, it carries belt, because of a firm grip between its surface and belt. The firm between pulley and belt can be obtained by

Explain Young's Modulus or Modulus of elasticity? Sol. : It is ratio between tensile stress and tensile strain or compressive stress and compressive strain. It can be denote

Determine hardness of material: Hardness is surface property. It can be defined as resistance of material against permanent deformation of surface in the form of scratch, inde

Use of hartung governor