Question
A body of mass m is placed on rough horizontal surface and pulled with force F at an angle 
as shown. Find the acceleration with which the body will accelerate.
Let coefficient of friction be μ.
Solution
Force is acting on the body as shown in the fig. below.
Now, breaking the rectangular component of F along horizontal and vertical direction.
(i) F cosθ in horizontal direction. (ii) F sinθ in vertically upward direction.
Weight of body mg acts in vertically downward direction.
Since the body is in equilibrium in vertical direction,
∴
The force of limiting friction is given by,
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If
then acceleration will be zero, and
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then body will accelerate and is given by
So, 'a' is the acceleration with which the body will accelerate.
Now, breaking the rectangular component of F along horizontal and vertical direction.
(i) F cosθ in horizontal direction. (ii) F sinθ in vertically upward direction.
Weight of body mg acts in vertically downward direction.
Since the body is in equilibrium in vertical direction,
∴
The force of limiting friction is given by,
If
then acceleration will be zero, andif
then body will accelerate and is given bySo, 'a' is the acceleration with which the body will accelerate.
