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

Velocity of COM

Two mass m an...

Question

Two mass m and 2m are attached with each other by a rope passing over a frictionless and massless pulley. If the pulley is accelerated upwards with an acceleration 'a' , what is the value of tension ?

\frac{g + a}{3}

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

\frac{g - a}{3}

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

\frac{4 m (g + a)}{3}

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

\frac{m (g - a)}{3}

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

Open in App

Solution

The correct option is A $\frac{4 m (g + a)}{3}$
$\begin{matrix} let, with relative to pulley the block 2 m descends with acceleration a_{0} for 2 m mass 2 m (a - a_{0}) = T - 2 m g - (1) \end{matrix}$

$\begin{matrix} for m mass m (a + a_{0}) = T - m g_{0} - (2) -from (1) & (2) 2 m a - 2 m a_{0} = T - 2 m g 2 m a + 2 m a_{0} = 2 T - 2 m g \end{matrix}$

$\begin{matrix} 4 m a = 3 T - 9 m g on T = \frac{4 m (a + q)}{z} \end{matrix}$

Option: C

Suggest Corrections

Similar questions

Q. Three masses

m

2 m

and

3 m

are attached with light strings passing over a fixed frictionless pulley as shown in the figure. The tension in the string between

2 m

and

3 m

is (

g

is acceleration due to gravity)

Q. Two masses

m_{1}

and

m_{2}

are attached to a flexible inextensible massless rope, which passes over a frictionless and massless pulley. Find the accelerations of the masses and tension in the rope.

Q. A light and smooth pulley is attached to the ceiling of a lift moving upward with acceleration

a_{0} = 2 {m/s}^{2}

as shown in the figure. Two blocks of equal masses

(m = 3 kg)

are attached to the two ends of a massless string passing over the pulley. Find the tension in the string. (Take

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

Q. A light and smooth pulley is attached to the ceiling of a lift moving upward with acceleration

a_{0} = 2 {m/s}^{2}

as shown in the figure. Two blocks of equal masses

(m = 3 kg)

are attached to the two ends of a massless string passing over the pulley. Find the tension in the string. (Take

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

Two bodies of masses m₁ and m₂ are connected by a light, inextensible string, which passes over a frictionless pulley. If the pulley is moving upward with uniform acceleration g, then the tension in the string is

Join BYJU'S Learning Program

Two mass m and 2m are attached with each other by a rope passing over a frictionless and massless pulley. If the pulley is accelerated upwards with an acceleration 'a' , what is the value of tension ?

The correct option is A 4m(g+a)3 let, with relative to pulley the block 2 m descends with acceleration a0 for 2 m mass 2m(a−a0)=T−2mg−(1) for m mass m(a+a0)=T−mg0−(2) -from (1)&(2)2ma−2ma0=T−2mg2ma+2ma0=2T−2mg 4ma=3T−9mg on T=4m(a+q)z Option: C