You visited us 93 times! Enjoying our articles? Unlock Full Access!

Pulley

If pulley sho...

Question

If pulley shown in the diagram are smooth and massless and $a_{1}$ and $a_{2}$ are acceleration of blocks of mass $4 kg$ and $8 kg$ respectively, then

a_{1} = a_{2}

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

a_{1} = 2 a_{2}

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

2 a_{1} = a_{2}

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

a_{1} = 4 a_{2}

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

Open in App

Solution

The correct option is B $a_{1} = 2 a_{2}$
Let the accelerations of 4 kg and 8 kg blocks be downwards and rightwards respectively,

By length constraint,
$2 x + z + y = l$

Differtiating twice
$2 \frac{d^{2} x}{d t^{2}} + \frac{d^{2} y}{d t^{2}} = 0$
$⟹ - 2 a_{2} + a_{1} = 0$
$⟹ 2 a_{2} = a_{1}$

Suggest Corrections

Similar questions

a_{1}

a_{2}

4 kg

8 kg

a_{2}

a_{1}

a_{2}

4 k g

8 k g

a_{1}

a_{2}

4 kg

8 kg

a_{2}

The acceleration of block of mass 2 kg and 4 kg are respectively (pulleys and Threads are massless) (g=10 m/s²).

a) a₁= 5 m/s² , a₂= 2.5 m/s²

b) a₁ = a₂ = 0

c) a₁ = a₂ = 20/6 m/s²

d) a₁ = 20 m/s² , a₂ = 5 m/s²

m_{1} = 4 kg, m_{2} = 2 kg

m_{3} = 4 kg

m_{1}

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

Join BYJU'S Learning Program