A body having mass m is kept on a flat horizontal surface. A pulling force is applied on the body in such a way that the direction of the force makes an angle theta with horizontal. Find the acceleration on the body.

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Solution

$F i s t h e f o r c e m a k i n g a n a n g l e θ w i t h h o r i z o n t a l t h e r e f o r e, c o m p o n e n t o f f o r c e i s h o r i z o n t a l d i r e c t i o n = F \cos θ f o r c e = m a s s \times a c c e l e r a t i o n F \cos θ = m a a = \frac{f \cos θ}{m}$

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A body having mass m is kept on a flat horizontal surface. A pulling force is applied on the body in such a way that the direction of the force makes an angle theta with horizontal. Find the acceleration on the body.

F is the force making an angle θ with horizontaltherefore, component of force is horizontal direction = Fcosθforce = mass×accelerationFcosθ = maa = fcosθm

$F i s t h e f o r c e m a k i n g a n a n g l e θ w i t h h o r i z o n t a l t h e r e f o r e, c o m p o n e n t o f f o r c e i s h o r i z o n t a l d i r e c t i o n = F \cos θ f o r c e = m a s s \times a c c e l e r a t i o n F \cos θ = m a a = \frac{f \cos θ}{m}$