Magnitude, direction and position of resultant force, Mechanical Engineering

Magnitude, direction and position of resultant force:

Q : A horizontal line PQRS is 12 m long, and PQ = QR = RS = 4m. Forces of 1000, 1500, 1000 and 500 N act at P, Q, R and S in that order with downward direction. Their lines of action make angle of 90º, 60º, 45º and 30º in that order with PS. Find out the magnitude, direction and position of resultant force.

 

2196_Magnitude, direction and position of resultant force.png

The system of given forces is shown in the figure given below

Let R be resultant of given system. And Rand RV be horizontal and vertical component of resultant.

By resolving all the forces horizontally

∑H = -1000 cos 90º - 1500 cos 60º - 1000 cos 45º - 500 cos 30º

∑H = -1890 N                                                                                                 ...(i)

By resolving all the forces vertically

∑V = -1000 sin 90º - 1500 sin 60º - 1000 sin 45º - 500 sin 30º

∑V = -3256N                                                                                                 ...(ii)

As,        R =   (∑H)2  +(∑V)2

R =   (1890)2  + (3256)2

R = 3764N                                                                               .......ANS

Let θ = Angle makes by the resultant

tanθ = ∑V/ ∑H = 3256/1890      θ= 59.86º
For position of resultant

Let, d = Distance between P and line of action of resultant force. Apply the varignon's theorem

R.d = 1000 sin 90º × 0 + 1500 sin 60º × 4 + 1000 sin 45º × 8 + 500 sin 30º × 12

3256.d = 13852

  d = 3.67 m                                                                     .......ANS

 

Posted Date: 10/17/2012 2:33:22 AM | Location : United States







Related Discussions:- Magnitude, direction and position of resultant force, Assignment Help, Ask Question on Magnitude, direction and position of resultant force, Get Answer, Expert's Help, Magnitude, direction and position of resultant force Discussions

Write discussion on Magnitude, direction and position of resultant force
Your posts are moderated
Related Questions
Derive a regression forecasting equation: The general manager of a company producing road rollers is convinced that the demand for road rollers is associated to the number of

In class, we derived and solved a model of a non-isothermal, insulated, CSTR with an exothermic reaction (model6.m). We want to derive and solve a very similar model of a system wi

What are main important terms included in the footings? Term included in the footings: a. described different types of footings and the process of selecting each type, b.

Stress Strai n Curves (Tension): When a bar or specimen is subjected to a gradually increasing axial tensile load, the strains and stresses can be found out for number of loa

Belt tension for V-belt: What is V-belt. Drive expression of Ratio in belt tension for V-belt Sol: The power from one shaft to the other shaft can be transmitted with t

Q. Scope of work for a project in Mechanical Engineering? The Mechanical Engineering scope of work for a project involves the design and specification of mechanical equipment a

Automated Material Handling We have dealt along with the automated guided vehicles and Robots utilized in the industry. Because of the industrial automation, various changes h

Q. Show the Procedure of Compute flange stresses? Compute flange stresses and the actual bolt stress using: - COLT values for gasket seating stress, ‘y' and the gasket facto

Are a Moment of Inertia Moment of force about a point is product of the force ( F ) and perpendicular distance ( d ) between point and line of action of that is F.d. This mome

I have a project due in 20 hours and I need help please.