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Engineering Mechanics Miscellaneous

Engineering Mechanics

  1. A car having weight W is moving in the direction as shown in the figure. The center of gravity (CG) of the car is located at height h from the ground, midway between the front and rear wheels. The distance between the front and rear wheels is l. The acceleration of the car is a, and acceleration due to gravity is g. The reaction on the front wheels(Rf) and rear wheels (Rr) are given by:
    1. Rf =
      W
      -
      W
      h
      a : Rr =
      W
      +
      W
      h
      a
      2gl2gl
    2. Rf = Rr =
      W
      +
      W
      h
      a
      2gl
    3. Rf = Rr =
      W
      -
      W
      h
      a
      2gl
    4. Rf =
      W
      +
      W
      h
      a : Rr =
      W
      -
      W
      h
      a
      2gl2gl
Correct Option: A

Here, Reaction on front wheels = Rf
Reaction on rear wheels = Rr

Rf =
Wl
- h ×
wa
2g
l

Rf =
W
-
W
h
a
2gl

∑fy = 0 , W = Rf + Rr
Rr =
W
+
W
h
a
2gl



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