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Unformatted text preview: MAE 101 Fall 2010 Midterm Examination #1
October 25, 2010 Instructor: Professor Gupta DO ALL WORK ON THE EXAM
ATTTACH ADDITIONAL SHEETS AS NEEDED
WRITE YOUR NAME ON EVERY SHEET YOU USE NOTE: ALL EQUATIONS OF EQUILIBRIUM MUST HAVE
ASSOCIATED FREE BODY DIAGRAMS l/E
Problem 1 6
Problem 2 Problem 3 / 0 Problem 4 @_ TOTAL (100) NAME; Q fol/MS ID: Problem 1: A packing case containing a machine tool and weighing a total of 1.7 kN is being
maneuvered with the aid of a light crowbar as shown. Assume that the packaging case at point A
rotates freely without slipping, that is, it acts like a pin joint, and the crowbar provides support at
point B that is frictionless. The distribution of mass within the case is such that its center of
gravity is at the center point. The crowbar rests on frictionless rollers at C, so there is no
resistance as C slides along the horizontal direction over the ﬂoor. Find the magnitude and
direction of the force which must be applied to end D of the crowbar to hold the packing case in
equilibrium. (35 points) FEB 04‘? cage; :MA:O3' Rn (1GOMm> '3 O
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4280 2’ F :O : RﬁcﬁOo "FCogd 3 O V r "QOO FEM/3% ’
 ‘ ‘2: 90¢! k0 Rosemaagaflcosm, 0 0‘ ,n r ~ f 0
gm“ : 80x055$¥sm10+ 500x0.ﬁ0°i 61am???) Fsma 3 0,1385 H0 Problem 2: A rigid rod with negligible weight and small radius carries a load W whose position
is adjustable. The rod rests on a small roller at A and bears against the vertical wall at B. Determine the distance x for any given value of 6 such that the rod will be in equilibrium.
Assume that friction is negligible at contact points A and B. (25 points) Assume: it No JQrgchion on where L y t i g
2. MO 0‘0 (00‘ (l‘l’ \8 Nigel) Bi EClWlibrium {3({3‘3 FED 0(3 rod“. Problem 3: Find the force in member BD 0f the truss shown below, and indicate whether it is in
tension or in compression. (10 points) Problem 4: A straight bar of radius r is bent at B to form an L—shaped member ABC so as to
form two straight legs AB and BC. It is builtin at A and lies in a horizontal plane when it is
unloaded. Find all reactions at A that are necessary for the structure to be in equilibrium for any
gm value of the applied load P in the vertically downward direction (that is, —y direction). (30 points) ...
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 Spring '08
 MAL
 Force, Mass, Trigraph, vertically downward direction, ASSOCIATED FREE BODY, packing case

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