Newton's Laws of motion numbericals.. please explain with answer
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Newton's Laws of motion numbericals.. please explain with answer
Newton's Laws of motion numbericals.. please explain with answer
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Question :
A mass M is suspended by a rope from a rigid support at A as shown in figure. Another rupe is tied at the end B, and it is pulled horizontally with a force. If the rope AB makes an angle `theta` with the vertical in equilibrium then the tension in the string AB is?
Theory :
• equilibrium of a particle
The equilibrium of a body needs both translatory as well as rotational equilibrium.
[tex] \sum \: \vec{F} = 0[/tex]
Solution :
first draw free body diagram of Mass M.
Now resolve components of Tension .
At equlilbrum ;
Tcosθ = mg
⇒[tex]T = \frac{mg}{ \cos( \theta) } [/tex]
and T sinθ = F
⇒[tex] T= \frac{F }{ \sin( \theta) } [/tex]
Therefore ,
[tex]{\purple{\boxed{\large{\bold{Tension = \frac{F }{ \sin( \theta) } }}}}}[/tex]
correct option B)
[tex] T= \frac{F }{ \sin( \theta) } [/tex]