Search & Filtering
A particle is released from rest from a small height above the surface of the earth at a place with latitude 450. Use the axes system described in the previous question and standard assumptions about the earth. During the motion, the velocity of the particle
(a) will be along the true vertical (passing through the centre of the earth)
(b) will be along the direction of static plumb line
(c) will have a horizontal component
(d) none of these
You are working at the equator. The x-axis is towards south, y-axis is towards east and z-axis is in the vertically upward direction. The angular velocity vector of the earth's rotation has component
(a) only in x- direction
(b) only in y-direction
(c) only in z-direction
(d) in x-direction and also in z- direction
(e) in y-direction and also in z-direction
A particle is dropped from a point A close to the earth's surface and it strikes the earth’s surface at B. Assume the earth to be a uniform sphere and neglect any air resistance. The line AB
(a) is along the true vertical
(b) is along the g- effective
(c) is not along the true vertical
(d) is not along the g- effective.
In one second the earth rotates about its axis by an angle θ where
(a) θ < 10-6 radian
(b) 10-6 radian< θ< 10-5 radian
(c) 10-5 radian < θ < 10-4 radian
(d) θ > 10-4 radian
A simple pendulum is hanging from a support and is at rest as seen from the lab where the latitude is 600. Assume the earth to be a uniform sphere. The angle between the string and the true vertical at that place is
(a) less than 20
(b) between 20 and 40
(c) between 40 and 60
(d) more than 60?
A horizontal circular disk is rotating with a constant angular velocity about its axis. There is a groove along one of its diameters and an object is pushed in the groove from some position.
Now, consider two positions A and B in the groove on the two sides of the centre of the disk. At these points the centrifugal force on the object are PA and PB respectively and the coriolis force are QA and QB respectively.
(a) PA and PB are in the same direction but QA and QB are in opposite directions
(b) PA and PB are in opposite directions but QA and QB are in the same directions.
(c) PA and PB are in the same direction and also QA and QB are in the same directions
(d) PA and PB are in opposite directions and also QA and QB are in opposite directions
A solid sphere has a vertical tunnel cut in it. The sphere rotates about its diameter parallel to the tunnel. A particle is dropped in the tunnel which fits in the tunnel and moves along its length. To analyse the motion of the particle from the frame of the sphere, you should use
(a) a centrifugal force but no coriolis force
(b) a coriolis force but no centrifugal force
(c) a centrifugal force and also a coriolis force
(d) neither a centrifugal force nor a coriolis force
A circular disk is rotated about its axis which is kept vertical. A straight rough groove is cut into the disk at some distance from the centre. A particle of some mass moves in the groove. To analyse the motion (or the rest) of the particle in the disk frame, you need to use
(a) a coriolis force
(b) a frictional force
(c) a centrifugal force
(d) a gravitational force
(e) a normal reaction force
The earth goes in a nearly circular orbit around the sun, completing the orbit in 365 days. Notice the frame used to describe the situation. Assume the orbit to be circular in this frame. The centrifugal force on the earth with this description
a) is away from the Sun
b) is towards the sun
c) balances the attractive force by the Sun
d) is zero
Consider the situation of the previous problem. The coriolis force on the particle as seen from the disk frame is F1 just before the blow and F2 just after the blow.
(a) F1 = F2 = 0
(b) F2 = 2 F1
(c) F2 > F1
(d) F2 < F1
