wiz-icon
MyQuestionIcon
MyQuestionIcon
31
You visited us 31 times! Enjoying our articles? Unlock Full Access!
Question

Figure shows a hemisphere and a supported rod. Hemisphere is moving right with a uniform velocity v2 and the end of rod which is in contact with ground is moving left with a velocity v1. The rate at which the angle θ is decreasing will be


A
(v1+v2)sin2θRcosθ
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
(v1+v2)tanθRcosθ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(v1+v2)cos2θRsinθ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
(v1+v2)cotθRsinθ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A (v1+v2)sin2θRcosθ
From right angled triangle formed by the rod,
sinθ=Rx
x=R cosec θ
Differentiating above equation, we get
dxdt=R cosec θcotθdθdt

dxdt can be witten as v1+v2
Hence,
dθdt=(v1+v2)sin2θRcosθ
(ve sign shows that θ decreasing with time).

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
All Strings Attached
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon