You visited us 2 times! Enjoying our articles? Unlock Full Access!

Applying NLM along 3 Axis

Three blocks ...

Question

Three blocks $P, Q$ and $R$ of masses $5 k g, 4 k g$ respectively are connected by a light inextensibile string and they are moved on a smooth horizontal plane. If a force of $24 N$ is applied to the string connected to $R$ , tensions $T_{1}$ and $T_{2}$ in the string are:

20 N, 5 N

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

5 N, 20 N

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

10 N, 18 N

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

18 N, 10 N

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

Open in App

Solution

The correct option is D $18 N, 10 N$
Given that,

Force $F = 24 N$

Mass of $P = 5 k g$

Mass of $Q = 4 k g$

Mass of $R = 3 k g$

Now, the acceleration is

$F = m a$

$24 = (5 + 4 + 3) a$

$a = \frac{24}{12}$

$a = 2 m / s^{2}$

According to FBD
Now, the tension is

$24 - T_{1} = 3 a$

$24 - T_{1} = 6$

$T_{1} = 18 N$

Now, again

$T_{1} - T_{2} = 4 a$

$18 - T_{2} = 8$

$T_{2} = 10 N$

Hence, the tension is $T_{1} = 18 N$ and $T_{2} = 10 N$

Suggest Corrections

Similar questions

Q. Three blocks of masses

m_{1} = 10 k g

m_{2} = 20 k g

and

m_{3} = 30 k g

are on a smooth horizontal table, connected to each other by light horizontal strings. A horizontal force F

=

60N is applied to

m_{3}

towards right. Find
(a) tensions

T_{1}

and

T_{2}

(b) tension

T_{2}

if all of a sudden the string between

m_{1}

and

m_{2}

snaps

Three blocks of masses 2 kg, 3 kg and 5 kg are connected to each other with light string and are then placed on a frictionless surface as shown in the figure. The system is pulled by a force F=10 N then tension T1=

Q. Three blocks of masses

2 k g, 3 k g

and

5 k g

are connected to each other with light string and are then placed on a frictionless surface as shown in the figure. The system is pulled by a force

F = 10 N

, then tension

T_{1} =

Two blocks A and B of masses 5 kg and 4 kg respectively are connected by a light string. If a constant force of 9N is applied to 5kg block, the tension in the string is

Join BYJU'S Learning Program

Three blocks P,Q and R of masses 5 kg,4 kg respectively are connected by a light inextensibile string and they are moved on a smooth horizontal plane. If a force of 24 N is applied to the string connected to R, tensions T1 and T2 in the string are:

The correct option is D 18 N,10 NGiven that, Force F=24N Mass of P=5kg Mass of Q=4kg Mass of R=3kg Now, the acceleration is F=ma 24=(5+4+3)a a=2412 a=2m/s2 According to FBDNow, the tension is 24−T1=3a 24−T1=6 T1=18N Now, again T1−T2=4a 18−T2=8 T2=10N Hence, the tension is T1=18N and T2=10N

Three blocks $P, Q$ and $R$ of masses $5 k g, 4 k g$ respectively are connected by a light inextensibile string and they are moved on a smooth horizontal plane. If a force of $24 N$ is applied to the string connected to $R$ , tensions $T_{1}$ and $T_{2}$ in the string are: