wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A bead of mass m is attached to one end of a spring of natural length R and spring constant K=(3+1)mgR. The other end of the spring is fixed at a point A on a smooth vertical ring of radius R as shown in Fig.6.301 The normal reaction at B just after it is released to move is
980531_db0d6dc535e0466d8fb1e675a9345158.png

A
mg/2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
3mg
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
33mg
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
33mg2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 33mg2
From figure length AB=R2+R2+2Rcos60=3R
(We know that the resultant of two vectorsAandB having angle θ between them =A2+B2+2ABcosθ


Natural length =R(given)
Extension=3RR=(31)R

Fs=K×extension=(3+1)mgR×(31)R=2mg

From last figure it is clear that N=Fscos30+mgcos30

N=3mgcos30=332mg

961638_980531_ans_0b46a8533ab047a98b938c380ffd9c94.png

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Composition of Two SHMs
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon