Question

solve for a,t1 and t2(formula derivation)​

Answer 1

Answer:

Explanation:

Net external force = F

Total mass M = M₁ + M₂ + M₃

Acceleration produced in each body  a = Net force/ Total mass

                                                                  = F/(M₁ + M₂ + M₃)

FBD of mass M₁

F - T₁ = M₁ a

    T₁ = F - M₁a

        = F - M₁($\frac{F}{(M_{1} + M_{2} + M_{3} )}$

        = F [$\frac{(M_{2} + M_{3} )}{(M_{1} +M_{2} +M_{3} )}$]

        = $\frac{(M_{2} + M_{3} )}{(M_{1} + M_{2} + M_{3} )} X F$

For FBD of mass M₃ :

T₂ = M₃ a

    = M₃ [F/(M₁+M₂+ M₃)

    = $\frac{M_{3} }{(M_{1} + M_{2} + M_{3} )} X F$