Evaluate the angle - block impends down the plane, Mechanical Engineering

Evaluate the angle - block impends down the plane:

What should be value of the angle shown in the figure so that the motion of the 90N block impends down the plane? The coefficient of friction for entire surface = 1/3.

1329_Evaluate the angle - block impends down the plane.png

Sol.: Consider equilibrium of block 30N             

∑V = 0;                                                                      1403_Evaluate the angle - block impends down the plane1.png

R1  - 30cos θ  = 0,

R1 = 30cos                                 ...(i)

∑H = 0;

T - µR1 - 30sinθ   = 0,

T = 10cos θ  + 30sinθ           ...(ii)

Consider the equilibrium of block 90N

∑V = 0;

R2  - R1  - 90cos θ  = 0

R2 = 120cos                             ...(iii)

∑H = 0;

90sin θ  - µR1 - µR2 = 0,

90sin θ  = 10cos θ  + 40sinθ         ...(vi)

tanθ = 5/9 that is  θ = 29.050

 

Posted Date: 10/18/2012 2:24:50 AM | Location : United States







Related Discussions:- Evaluate the angle - block impends down the plane, Assignment Help, Ask Question on Evaluate the angle - block impends down the plane, Get Answer, Expert's Help, Evaluate the angle - block impends down the plane Discussions

Write discussion on Evaluate the angle - block impends down the plane
Your posts are moderated
Related Questions
A heating section consists of a 10 in diameter duct which houses a 8 kW electric resistance heater. Air enters the heating section at 14.7 psia 40oF, and 35 percent relative humidi


Occupational Health Problems Various health problems have been found to be rooted in type of work, equipment and Workplace. It was eighteenth century while definite observati

Five jobs are performed first-on Machine-I and then on Machine-II. Time in hours taken by each job on each machine is given below :

Bucket conveyors are used to moves the granular powdered or liquid materials. The buckets may be mounted on a chain or a belt. The movement may be vertical or flat. The ver

Camshaft : The camshaft controls the opening and closing of the two valves. The associated parts are push rods, rocker arms and valve springs. The camshaft is driven by a camchai

Determine concept of Hydrostatic sensor paver machine A sensor asphalt paver is a machine used to deal out, shape, and partially compact a layer of asphalt on the surface of a

formulae for finding gross torque developed by the armeture

Reduce system to a single force and couple: Q: A system of parallel forces is acting on rigid bar as shown in the figure given below. Reduce this system to  a single force

WIRE-FRAME MODELS  The wire-frame model is perhaps the oldest way of representing solids. According to this model, any solid is represented by its edges and vertices. A wire-fr