METU Mechanical Engineering Department ME 205 Statics - Sections 2 & 4

Homework 3 Homework 3 Due: 15.11.2013 by 09:30 am, Room: G-134

METU ME 205 - Statics Fall 2013

1) Three equal forces are exerted on the equilateral plate as shown. Reduce the force system to an equivalent force-couple system at point O. Show that is perpendicular to !. Find the resultant force and its location on the plate.

Problem 1 Problem 2

2) The thin rectangular plate is subjected to the four forces shown. Determine the equivalent force-couple system at O. What is the resultant of the system?

3) The pulley and gear are subjected to the loads shown. For these forces, determine the equivalent force--couple system at point O.

Problem 3 Problem 4

4) Represent the resultant of the three forces and couple by a force-couple system located at point A. 5) Reduce the given loading system to a force--couple system at point A. Then determine the

distance x to the right of point A at which the resultant of the three forces acts.

Problem 5