5) A force of 100-lb is applied to the lever end as shown. Determine a) moment o
ID: 2987861 • Letter: 5
Question
5) A force of 100-lb is applied to the lever end as shown. Determine
a) moment of the 100-lb force about O
b) the horizontal force applied at A, which creates the same moment about O
c) the smallest force at A which creates the same moment about O
d) how far from the shaft must a 240-lb vertical force act to create the same moment about the
point O.
A force of 100-lb is applied to the lever end as shown. Determine moment of the 100-lb force about O the horizontal force applied at A, which creates the same moment about O the smallest force at A which creates the same moment about O how far from the shaft must a 240-lb vertical force act to create the same moment about the point O.Explanation / Answer
(a) 100 * 24 * cos 60
= 2400 * 1/2
= 1200 ib-in
(b) Let the horizontal force about A = x
so,
x * 24 * sin 60 = 1200
x * sin 60 = 50
x = 50 / sin 60
= 57.737 ib-in
(c) The smallest force will be the force perpendicular to the lever(perpendicular distance = 24)
= 1200 / 24
= 50 ib-in
(d) Let the distance be x
240 * x * cos 60 = 1200
x * cos 60 = 5
x = 10 in
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