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

Calculate the weight of body and the coefficient of friction:

Q: Bodies resting on rough horizontal plane required pull of 24N inclined at 30º to the plane just to move it. It was found that a push of 30N at 30º to plane was just sufficient to cause motion to impend. Calculate the weight of body and the coefficient of friction.

 

268_Calculate the weight of body and the coefficient of friction.png

Sol.:     ∑H = 0; F = P1cosθ

∑V = 0; R = W - P1sinθ

Also F = µR

µ(W - P sin θ ) = P1cosθ

or P1 = µ W / (cosθ  + µsinθ )                                                                                               ...(i)

With reference to the free body diagram when push is applied

∑H = 0; F = P2cosθ

∑V = 0; R = W + P2sinθ

Also  F = µR

µ(W + P2sinθ   ) = P2cosθ

P2 = µW/(cosθ   - µsinθ )                                                                                                  ...(ii)

From equation (i) and (ii),

P1/ P2 = (cosθ    - µsinθ)/ (cosθ + µsinθ)

24/30 =   (cos 30°- µ sin 30°)/ (cos 30°+ µsin 30°)

= (0.866 - 0.5µ)/(0.866 + 0.5µ)

0.6928 + 0.4µ = 0.866-0.5u

By solving

µ = 0.192                                                                     .......Ans

Putting value of µ in the equation (i) we get value of W

W = 120.25N                                                                .......Ans

Posted Date: 10/17/2012 6:43:01 AM | Location : United States







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

Write discussion on Calculate the weight of body and the coefficient of friction
Your posts are moderated
Related Questions
Calculate days of inventory: From the data provided in table 1 and 2, calculate days of inventory. Solution Average Inventory Investment = (Last year inventory + Curre

#q(b) Illustrate governing mechanism of Kaplan turbine.uestion..

1. Given the following grammar S à 0A0 | 1B1 | BB; A à C; B à S | A; C à S | ε, (a) ( Derivation ) Given a left-most and right-most derivation of a string 01001110 (b) ( Parse tree

Tunnels: Tunnels become unavoidable for negotiating hills, where detours are costly. The tunnels in rock are not lined, but those in loose strata require a lining of cement c

A force F(t) is suddenly applied to a mass m which is supported by a spring with a constant stiffness ‘K'. After a short period of time T, the force is suddenly removed. In the mea

Compute minimum value of the horizontal force: Block A of weight 520N rest on horizontal top of block B having weight of 700N as shown in the figure given below. Block A

Concurrent force system: It state that if force acting at a point on a rigid body, it can be considered to act at any other point on its line of action, given this point is ri


truss is shown in the following figure. Compute the horizontal deflection of joint D produced by both the load and fabrication error (bar AE is 40mm too long). For all bars, area A

A mechanical System (two degrees of freedom system) is represented by the following two differential equations: m1x"1+(k1+k2)x1-k2x2=0 m2x"2-k1x1+(k2+k3) x2=0 Given m1=m2=0.5kg, k