You visited us 6 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Tension in a String

Find tension ...

Question

Find tension in the string, force of friction on 1 kg block and its direction.

T = 64 N, f = 48 N (i n w a r d s)

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

T = 48 N, f = 64 N (o u t w a r d s)

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

T = 64 N, f = 64 N (i n w a r d s)

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

T = 64 N, f = 48 N (o u t w a r d s)

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

Open in App

Solution

The correct option is D $T = 64 N, f = 48 N (o u t w a r d s)$
Given : $m_{1} = 1 k g$ $m_{2} = 2 k g$ $r_{1} = 1 m$ $r_{2} = 2 m$ $w = 4$ rad/s
For block 2 kg : $T = m_{2} r_{2} w^{2}$
$∴ T = 2 \times 2 \times 4^{2} = 64$ N

For block 1kg : $m_{2} a_{r} = T - f$
$∴ m_{1} r_{1} w^{2} = T - f$
OR $1 \times 1 \times 4^{2} = 64 - f$
$⟹ f = 64 - 16 = 48$ N (outwards)

Suggest Corrections

Similar questions

Q. Two blocks tied with a massless string of length

3 m

are placed on a table rotating at an angular speed

ω = 4 rad/s

. The axis of rotation is

1 m

from the block having

1 kg

mass. Assume that the surface below

2 kg

block is smooth and that below the

1 kg

block is rough. Find the tension

(T)

in the string and the frictional force

(f)

acting on the

1 kg

block. Take

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

Q. Two blocks are connected by a string as shown in the diagram. The upper block is hung by another string. A force

F

applied on the upper string produces an acceleration of

2 {m/s}^{2}

in the upward direction in both the blocks. If

T

and

T^{'}

be the tensions in the two parts of the string, then (take

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

)

Two blocks of masses m and 2 m placed one over the other as shown in figure. The coefficient of friction between m and 2m is µ and between 2m and ground is $\frac{μ}{3}$ . If a horizontal force F is applied on upper block and T is tension developed in string then choose the incorrect alternative.