You visited us 1 times! Enjoying our articles? Unlock Full Access!

Tension in a String

The accelerat...

Question

The acceleration of blocks $m_{1}, m_{2}, m_{3}$ blocks as shown in figure given below will be:

\frac{F}{m_{2}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{F}{m_{1} + m_{2}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{F}{m_{1} + m_{2} + m_{3}}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{F}{m_{1} + 2 m_{2} + m_{3}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $\frac{F}{m_{1} + m_{2} + m_{3}}$

Considering the blocks $m_{1}, m_{2}, m_{3}$ as a system all tension forces will become internal force, only external force acting will be $F$ .

Applying newton's $2^{n d}$ law in the direction of acceleration( $a$ );

$F_{E x t e r n a l} = m_{s y s t e m} \times a_{s y s t e m} F = (m_{1} + m_{2} + m_{3}) a ∴ a = \frac{F}{m_{1} + m_{2} + m_{3}}$

Hence option C is the correct answer

Suggest Corrections

Similar questions

Q. The acceleration of blocks

m_{1}, m_{2}, m_{3}

blocks as shown in figure given below will be:

Two blocks of masses M₁ and M₂ are connected to each other through a light spring as shown in figure. If we push mass M₁ with force F and cause acceleration a₁ in mass M₁, what will be the magnitude of acceleration inM₂?

Q. Consider three blocks of mass

m_{1}, m_{2}, m_{3}

have been interconnected by strings, which are being pulled by a common force

F

on a frictionless horizontal table as shown in the figure. The tension

T_{1}

and

T_{2}

are also indicated.
a)

T_{2} > T_{1}

m_{2} > m_{1}

T_{2} = T_{1}

m_{2} = m_{1}

T_{2} > T_{1}

always
d) acceleration of the system

= \frac{F}{m_{1} + m_{2} + m_{3}}

Which of the above are true?

Consider two blocks of masses m₁and m₂ placed in contact with each other on a friction less horizontal surface. Let a force F be applied on block of mass m₁, then the value of contact force between the blocks is

Q. Two blocks of masses

m_{1}

and

m_{2}

are connected as shown in the figure. The acceleration of the block

m_{2}

Join BYJU'S Learning Program

The acceleration of blocks m1, m2 ,m3 blocks as shown in figure given below will be:

The acceleration of blocks $m_{1}, m_{2}, m_{3}$ blocks as shown in figure given below will be: