An arrangement of pulley, string and blocks is shown in figure. Given m1=4kg,m2=2kg and m3=4kg. All surfaces are frictionless, string and pulleys are massless. Find the acceleration of block m1. Assume g=10m/s2.
A
3611m/s2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
4011m/s2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
367m/s2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
407m/s2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is D407m/s2 Assuming the acceleration of pulley and blocks, as shown in the figure.
.
Applying string contraint : l1+l2=constant
On double differentiating with time gives: −a0+ap=0⇒ap=a0...(i)
(−ve and +ve sign are used for decrease and increase of length of string respectively.)