Find out the angle of force - center of wheel, Mechanical Engineering

Find out the angle of force:

Q: A uniform wheel having 60 cm diameter weighing 1000 N rests against rectangular obstacle 15 cm high. Find least force required which when acting through the center of wheel will just turn wheel over the corner of the block. Find out the angle of force with horizontal. 

Sol.: Let,

2431_Find out the angle of force.png

Figure

Pmin  = Least force applied as shown in the figure = Angle of least force

From triangle OBC, BC = BOsinθ

BC = 30sinθ

In ?BOD, BD = {(BO)2  - (OD)2}1/2

BD = (302  - 152)1/2  = 25.98

Taking moment of all the forces about point B, then we get

Pmin  X BC - W X BD = 0

Pmin  - W X BD/BC

Pmin = 1000 X 25.98 /30sinθ

We get minimum value of P whenα is maximum and maximum value of α is at 90º i.e. 1, putting sinα = 1

Pmin = 866.02N                                                                            .......ANS


Posted Date: 10/16/2012 7:46:17 AM | Location : United States







Related Discussions:- Find out the angle of force - center of wheel, Assignment Help, Ask Question on Find out the angle of force - center of wheel, Get Answer, Expert's Help, Find out the angle of force - center of wheel Discussions

Write discussion on Find out the angle of force - center of wheel
Your posts are moderated
Related Questions

MANDATORY CHECKS DURING THE FIRST SIX SERVICES Various steps in servicing of motorcycle are given below in a tabular form. 2.3.1 First Service and Second Ser

A space craft ‘A' has velocity 0.9 c relative to the earth. Another spacecraft ‘B' overtakes A with relative velocity 0.5 c. Find the velocity of spacecraft B relative to the groun

Calculate stress to cause failure - Creep Parameters: From creep tests on 713 C alloy the constant C in Larson-Miller parameter is determined as - 85.75. In rupture test a spe

Concep t of Temperature: The temperature is thermal state of body which describes the degree of hotness or coldness of body. If the two bodies are brought in contact, heat wi

(a) Derive the mathematical equation for work done in a polytropic process (i.e.) PV n =c) (b) A mass of gas is compressed in a quasi-static process from 80KPa, 0.1m 3 to 0.4M

what is tooling economics, machine economics and optimization

Types of Lubricant: Lubricant is a material which circulates through the lubrication network to provide lubrication at various points. Lubricants are classified in three forms: Fl


Calculate the centroid (use point A as the reference) and the moment of inertia of the shape shown in Figure. The dimensions are given in centimeters.  Calculate the moment