CE 221 Mechanics HW2

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Abdullah Gul University 
Department of Civil Engineering 
CE 221 Mechanics 
Fall 2020 
Homework Assignment 2 
Assign: October 27, 2020 - Due: November 6, 2020 at 23:59 
 
A Homework Philosophy has been uploaded in AGU CANVAS to prepare your homework. 
Please take consider the instructions and submit them to Canvas 
 
1. (20) A crate A crate of mass 80 
kg is held in the position shown. 
Determine 
(a) the moment produced by 
the weight W of the crate about 
E, 
(b) the smallest force applied at 
A that creates a moment of 
equal magnitude and opposite 
sense about E, 
(c) the magnitude, sense, and 
point of application on the 
bottom of the crate of the 
smallest vertical force that 
creates a moment of equal 
magnitude and opposite sense 
about E. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
2. (15) A winch puller AB is used to straighten a fence post. Knowing that the tension 
in cable BC is 1040 N and length dis 1.90 m, determine the moment about D of the 
force exerted by the cable at C by resolving that force into horizontal and vertical 
components applied (a) at Point C, (b) at Point E. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 3. (15) 
If the magnitude of the resultant 
couple moment is 15 N.m 
determine the magnitude F of 
the forces applied to the 
wrenches. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 4. (10) 
The gear reducer is subjected to the 
couple moments shown. Determine 
the resultant couple moment and 
specify its magnitude and coordinate 
direction angles. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
5. (15) 
 
The belt passing over the pulley is 
subjected to two forces F1 and F2, each 
having a magnitude of 40 N. F1 acts in 
the –k direction. Replace these forces by 
an equivalent force and couple moment at 
point A. Express the result in Cartesian 
vector form. Take Ɵ=45º 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
6.(10) 
Replace the loading by an equivalent 
force and couple moment acting at 
point O 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
7.(15) 
 
Determine the magnitude of the moment of each of 
the three forces about the axis AB. Solve the 
problem a) using a Cartesian vector approach and b) 
using a scalar approach.