Determine weight of body and coefficient of the friction, Mechanical Engineering

Determine weight of body and coefficient of the friction:

Force of 200N is needed just to move a certain body up an inclined plane of angle 15°, the force is parallel to the plane. If the angle of indication is 20º the effort again required parallel to the plane is found 250N. Determine weight of body and coefficient of the friction.

909_Determine weight of body and coefficient of the friction.png

Sol.:

Case-1

Consider When slope of the plane is 15º Sum of forces parallel to the plane = 0

P - µR - Wsin15° = 0                                                                                                                                      ...(i)

Sum of forces perpendicular to the plane = 0

R = Wcos15°                                                                                                                       ...(ii)

By putting the value of equation (ii) in (i), We get

P = µWcos15° + Wsin15° = 0

200 = 0.96µW + 0.25W                                                                                                      ...(iii)

Case-2

Consider When slope of plane be 20º
The Sum of forces parallel to the plane = 0

P - µR - Wsin20° = 0                                                                                                                                   ...(iv)

The Sum of forces perpendicular to plane = 0

R = Wcos20°                                                                                                                       ...(v)

By p­utting the value of equation(v) in (iv), We get

P = µWcos20° + Wsin20° = 0

250 = 0.939µW + 0.34W                                                                                                    ...(vi)

Solved equation (iii) and (vi) we get

W = 623.6N and µ = 0.06                                                        .......ANS

Posted Date: 10/18/2012 2:31:03 AM | Location : United States







Related Discussions:- Determine weight of body and coefficient of the friction, Assignment Help, Ask Question on Determine weight of body and coefficient of the friction, Get Answer, Expert's Help, Determine weight of body and coefficient of the friction Discussions

Write discussion on Determine weight of body and coefficient of the friction
Your posts are moderated
Related Questions
differentiate between scalar and vector quantities?

FLUX FEEDING & RECOVERY SYSTEM The flux is fed by gravity from the flux delivery hopper mounted on the welding head through a tube into the welding zone. Flux feeding is normally


Evaluate the acceleration of the three weights: A system of weight connected by the string passing over pulleys A and B is shown in figure given below. Find out acceleration

Standard for the specific standard technical areas These norms are based on previously described models. Typical categories of these norms are: (a)  drafting, which describe

Maximum Bending Moment: The SF changes sign at A, among A and B and at B. Let a section XX at a distance x from the end C as illustrated in Figure SF at section XX, F x

Legal Aspect :  Few simple steps to take care of legal aspects of setting up a business are to register your unit with concerned organisation, check out the labour laws that would

what is law of chemical combinations?

Describe the key terms i. Write two differences between boiler and turbine. ii. Compare the rankine cycle with carnot cycle in terms of efficiency and work ratio iii.

What is the total value added by the new workshop in Year 1 of the 5-year plan? Assuming that the average quarterly demand is maintained over the remaining years of the 5-year p