A rear wheel drive car is stuck in the snow between other parked cars as shown. In an attempt to free the car, three students exert forces on the car at points A, B, and C while the driver's actions result in a forward thrust of 40 lb acting parallel to the plane of rotation of each rear wheel. Treating the problem as two- dimensional, determine the equivalent force couple system at the car center of mass G, the resultant R and locate the position x of the point on the car centerline through which the resultant passes. Neglect all forces not shown.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.4: Applications
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A rear wheel drive car is stuck in the snow between other parked cars as shown. In an attempt to free the
car, three students exert forces on the car at points A, B, and C while the driver's actions result in a forward
thrust of 40 lb acting parallel to the plane of rotation of each rear wheel. Treating the problem as two-
dimensional, determine the equivalent force couple system at the car center of mass G, the resultant R and
locate the position x of the point on the car centerline through which the resultant passes. Neglect all forces
not shown.
Ans.
M =
Ib-ft
40 lb
33"
80 lb
33"
R =
Ib
72"
X =
ft
40 lb
B
66"
30°
50 lb
70 lb
Transcribed Image Text:A rear wheel drive car is stuck in the snow between other parked cars as shown. In an attempt to free the car, three students exert forces on the car at points A, B, and C while the driver's actions result in a forward thrust of 40 lb acting parallel to the plane of rotation of each rear wheel. Treating the problem as two- dimensional, determine the equivalent force couple system at the car center of mass G, the resultant R and locate the position x of the point on the car centerline through which the resultant passes. Neglect all forces not shown. Ans. M = Ib-ft 40 lb 33" 80 lb 33" R = Ib 72" X = ft 40 lb B 66" 30° 50 lb 70 lb
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