Join now for JEE/NEET and also prepare for Boards Join now for JEE/NEET and also prepare for Boards. Register Now
Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
Suppose that a tunnel could be dug along diameter.Show that the motion of a particle dropped into the tunnel is simple harmonic motion.Neglect all frictional forces assume that the earth has a uniform density. I need the answer as a numerical solved problem. Suppose that a tunnel could be dug along diameter.Show that the motion of a particle dropped into the tunnel is simple harmonic motion.Neglect all frictional forces assume that the earth has a uniform density.I need the answer as a numerical solved problem.
Let`s assume that we`re able to dig a hole that starts from one side of the earth, passes through the center of the earth and comes out from the other side. Then we dropped a ball in that hole. Initially ball would fall towards the center due to gravitational pull of the earth and its speed would keep increasing. However, its acceleration would decrease i.e. its rate of speed gain would decrease. This happens until it reaches the center. At this point its acceleration is 0 as no force is acting on it (for it is already at the center). Once it overshoots the center, ball is still attracted towards the center however now it is going in the opposite direction of the pull. So it starts losing its speed and the rate of speed lose keeps increasing away from the center. This happens till the ball stops (which would happen at a distance from the center exactly equal to the distance from which it was released on the other side).Once the ball has stopped, it repeats the whole process again and again - it is trapped in an infinite oscillatory motion. This motion is in fact a special oscillatory motion formally called as Simple Harmonic Motion. RegardsArun
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -