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

shows a rod of length l resting on a wall and the floor. Its lower end A is pulled towards left with a constant velocity v. Find the velocity of the other end B downward when the rod makes an angle θ with horizontal.

Open in App
Solution

In such type of problems, when velocity of one part of a body is given and that of other is required, we first find the relation between the two displacements, then differentiate them with respect to time. Here, if the distance from the corner to the point A is x and that up to B is
y. Then, v=dxdt
and vB=dxdt (-sign denotes that y is decreasing )
Further, x2+y(2)=t2
Differentiating with respect to time t
2xdxdt+2ydydt=0
xv=yuB
vB=xyv=vcotθ

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Losing Weight Using Physics
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon