A force of F N is applied as shown in the figure. Find the tension in the string between BC , if the friction force is negligible.

Question

A force of F N is applied as shown in the figure. Find the tension in the string between BC , if the friction force is negligible. (A) F / 3 (B) F / 2 (C) F/4 (D) F/5

Tardigrade Admin · Accepted Answer

Common acceleration of the system <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/9364f33c52a304185d89ce282b2347f9-.png" /> a =( F / M 1+ M 2+ M 3)=( F /8+8+8)=( F /24) T 2=( M 3 F / M 1+ M 2+ M 3)=(8 × F /24)=( F /3)

Q. A force of $F$ N is applied as shown in the figure. Find the tension in the string between $BC,$ if the friction force is negligible.

$F /3$

$F /2$

$F /4$

$F /5$

Common acceleration of the system

$a = \frac{F}{M _{1} + M _{2} + M _{3}} = \frac{F}{8 + 8 + 8} = \frac{F}{24}$
$T_{2} = \frac{M _{3} F}{M _{1} + M _{2} + M _{3}} = \frac{8 \times F}{24} = \frac{F}{3}$

Q. A force of F N is applied as shown in the figure. Find the tension in the string between BC, if the friction force is negligible.

F/3

F/2

F/4

F/5