- #1
AakashPandita
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Homework Statement
A body is suspended on a spring balance in a ship sailing along the equator with a speed ## v' ## . If ## \omega ## is the angular speed of the Earth and ## \omega_0 ## is the scale reading when the ship is at rest , the scale reading when the ship is sailing, will be very close to
(a) ## \omega_0 ##
(b) ## (\omega_0)(1 + \frac { 2 \omega v'}{g}) ##
(c) ## (\omega_0)(1 \mp \frac { 2 \omega v'}{g}) ##
(d)none of these
Homework Equations
Let mass of object be m
Radius of Earth be R.
Tension in spring balance=Reading in spring balance = ## \omega_0 ##
Tension be T when ship not sailing and Tension be T' when ship is sailing
When ship is not sailing
## mg - T = m (\omega)^2 R ##
When ship is sailing
## mg - T' = m (\omega \mp v'/R)^2 R ##
I solved for T' but the answer is not coming.
I could show the working but latex is hard to write.