MyQuestionIcon

1

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

Pulley

Two unequal m...

Question

Two unequal masses of $1 k g$ and $2 k g$ are connected by an inextensible light string passing over a smooth pulley as shown in the figure. A force $F = 20 N$ is applied on $1 k g$ block. Find the acceleration of either block. $(g = 10 m / s^{2})$ in $m / s^{2}$

Open in App

Solution

The given system can be represented as shown

Total downward force on $1 k g$ mass = $F + g = 20 + 10 = 30 N$
And, on $2 k g$ mass = $2 g = 20 N$
Hence, $1 k g$ mass will accelerate downwards
For $1 k g$ mass we have,
$30 - T = a$ ........... (1)
For $2 k g$ mass we have,
$T - 20 = 2 a$ ...........(2)
From (1) & (2) we get
$10 = 3 a \Rightarrow a = \frac{10}{3} m / s^{2}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Two unequal masses of

1 k g

2 k g

are connected by an inextensible light string passing over a smooth pulley as shown in the figure. A force

F = 20 N

1 k g

block. Find the acceleration of either block. (

g = 10 m / s^{2}

)

Q. Two unequal masses of

1 kg

2 kg

are connected by an inextensible light string passing over a smooth pulley as shown in figure. A force

F = 20 N

1 kg

block. Find the magnitude of acceleration of either block. (

g = 10 {m/s}^{2}

Q. Two unequal masses of

1

2

kg are attached at the two ends of a light inextensible string passing over a smooth pulley as shown in figure. If the system is released from rest, find the work done by tension on both

1

2

1

g = 10 m / s^{2}

Q. Two blocks of mass

m = 5

M = 10

kg are connected by a string passing over a pulley B as shown. Another string connects the center of pulley B to the floor and passes over another pulley A as shown. An upward force F is applied at the center of pulley A. Both the pulleys are massless. Find the acceleration of blocks m and M (in

m / s^{2}

) if F is 500 N

Q. Two blocks of masses

5 kg

2 kg

are connected by a massless string as shown in figure. A vertical force

F

is applied on the

5 kg

block. Find the value of

F

if tension in the string is

40 N

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

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

PHYSICS

Watch in App

explore_more_icon

Explore more

Standard XI Physics

Join BYJU'S Learning Program

CrossIcon