You visited us 3 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Physics

Work

Three masses ...

Question

Three masses of $1$ kg, $6$ kg and $3$ kg are connected to each other with threads and are placed on table as shown in figure. What is the acceleration with which the system is moving?

Zero

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

1

s^{- 2}

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

2

s^{- 2}

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

3

s^{- 2}

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

Open in App

Solution

The correct option is C $2$ m $s^{- 2}$
The free-body diagram is shown in figure .

For 1kg mass-

$T_{1} - 1 g = 1 a$

For 6kg mass-

$T_{2} - T_{1} = 6 a$

For 3kg mass-

$3 g - T_{2} = 3 a$

Adding all three equations-

$3 g - 1 g = 10 a$

$⟹ a = \frac{g}{5} = 2 m / s^{2}$

Answer-(C)

Suggest Corrections

Similar questions

Q. Three masses of

1 k g

5 k g

and

3 k g

are connected to each other with threads and are placed to table as shown in the figure. What is the acceleration with which the system is moving? (Take

g = 10 m / s^{- 2}

)

Q. Three masses 1 kg, 6 kg and 3 kg are connected to each other with threads and are placed on a table as shown in figure. The alcceleration with which the system is moving is _______

m s^{2} (g = 10 m s^{2})

Q. Three blocks of mass

1 k g, 4 k g

and

2 k g

are placed on a smooth horizontal plane as shown in figure. Find the acceleration of the system, in

m s^{- 2}

Two masses of 4 kg and 5 kg are connected by a string passing through a frictionless pulley and are kept on a frictionless table as shown in the figure. The acceleration of 5 kg mass is

Q. The masses

m_{1}, m_{2}

and

m_{3}

of the three bodies shown are

5 k g

2 k g

and

3 k g

respectively. Calculate the values of tensions

T_{1}, T_{2}

and

T_{3}

when:
(i) the whole system is going upwards with an acceleration of

2 m / s^{2}

and (ii) the whole system is stationary.
(

g = 9.8 m / s^{2}

)

Join BYJU'S Learning Program

Three masses of 1kg, 6kg and 3 kg are connected to each other with threads and are placed on table as shown in figure. What is the acceleration with which the system is moving?

The correct option is C 2 m s−2The free-body diagram is shown in figure .For 1kg mass-T1−1g=1aFor 6kg mass-T2−T1=6aFor 3kg mass-3g−T2=3aAdding all three equations-3g−1g=10a⟹a=g5=2m/s2Answer-(C)

Three masses of $1$ kg, $6$ kg and $3$ kg are connected to each other with threads and are placed on table as shown in figure. What is the acceleration with which the system is moving?

The correct option is C $2$ m $s^{- 2}$
The free-body diagram is shown in figure .

For 1kg mass-

$T_{1} - 1 g = 1 a$

For 6kg mass-

$T_{2} - T_{1} = 6 a$

For 3kg mass-

$3 g - T_{2} = 3 a$

Adding all three equations-

$3 g - 1 g = 10 a$

$⟹ a = \frac{g}{5} = 2 m / s^{2}$

Answer-(C)