Question

A block B is tied to one end of a uniform rope $R$ as shown. The mass of the block is $2kg$ and that of rope is 1 kg. A force $F=15$ is applied at angle ${37}^o$ with vertical. The tension at the mid-point of rope is

• A. $1.5N$
• B. $2N$
• C. $3N$
• D. $4.5N$

Answer 1

The correct option is A $1.5N$

Ref. image 1

Taking rope and block as system acceleration is,

$a=\frac{F^{\prime }\sin 37°}{3}$

$a=3m{s}^2$

Taking half of the rope under consideration it will have same acceleration,

Ref. image 2

$T=\frac{1}{2}\times a$

$T=\frac{1}{2}\times 3$

$T=1.5$Newtons