Determine force on a body to pull or push, Mechanical Engineering

Assignment Help:

Determine force on a body to pull or push:

Q: A wooden block having weight of 50N rests on the horizontal plane. Determine force required which is acted at an angle of 15° to just (a) Pull it, and (b) Push it. Take the coefficient friction = 0.4 between the mating surfaces. Also comment on the result.

605_Determine force on a body to pull or push.png

Sol.: Let P1 be the force needed to just pull the block. In limiting equilibrium, forces are balanced. That gives

∑H = 0; F = P1cosθ

∑V = 0; R = W - P1sinθ

Also F = µR

µ(W - P1 sinθ) = P1cosθ

or P1 = µW / (cosθ  + µsinθ)

= 0.4 × 50 /( cos 15° + 0.4 sinl5°)

= 18.70N                                                                                  .......Ans

(b) Let P2  be the force which is required to just push the block. With reference to free body diagram

Let us write equations of equilibrium,

∑H = 0; F = P2cosθ

∑V = 0; R = W + P2Sinθ

Also F = µR

µ (W + P2sin θ ) = Pcosθ

or P2 = µW / (cosθ - µsinθ)

= 0.4 × 50 /( cos 15° - 0.4 sinl5°)

= 23.17N                                                                  .......Ans

Comments. It is easier to pull the given block than push it.


Related Discussions:- Determine force on a body to pull or push

Urine preservatives - specimen collection, Urine preservatives - Specimen c...

Urine preservatives - Specimen collection: Urine preservatives : preservatives have different roles but are usually added to reduce bacterial action or chemical decompo

Determine the ratio of the inlet pipe diameter, Air flows steadily at the r...

Air flows steadily at the rate of 0.5 kg/s through an air compressor, entering at 7m/s velocity, 100 kPa pressure, and 0.95 m 3 /kg volume, and leaving at 5 m/s, 700 kPa, and 0.19

Want settle down where sheet metal engeniers are requiered, #question.want ...

#question.want settle down where sheet metal engineers are required.

Boiler, what is boiler ? what is hard & soft water? how can we convert raw ...

what is boiler ? what is hard & soft water? how can we convert raw water into soft water?

Design safe areas for plant, Q. Design Safe Areas for plant? A Safe Are...

Q. Design Safe Areas for plant? A Safe Area in this manual is regarded as a space that is not ranked as being a designated hazardous area by the relevant Regional or Country st

Steps for method of joint, Step s for Method of Joint: To find force ...

Step s for Method of Joint: To find force in member of the truss by this method, the three Steps which are given below are followed. Step-1 : Calculate reaction at su

Nature of shear force and bending moment - load variation, Define the natur...

Define the nature of shear force and bending moment under load variation. Sol.: The nature of SF and BM variation under two-load region is given in the table below

Force exerted by a jet of water on an inclined fixed plate, (a) Show that t...

(a) Show that the force exerted by a jet of water on an inclined fixed plate in the dissection of jet is provided by fx = .a.v 2 . sin2θ. Where a is area of jet, v is velocity of j

Loosening a part with multiple fasteners services tips, Loosening a Part wi...

Loosening a Part with Multiple Fasteners: Loosening a part with multiple fasteners should be done from the outside to inside in a criss-cross pattern, loosening the small fastener

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd