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Motion In Straight Line

Question
CBSEENPH11017855
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Determine the speed with which earth have to rotate on its axis so that a person on latitude 600 would weigh 3/4th as such at present without rotation. Take equatorial radius as 6400 km. 

Solution

We have, 
mg' = mg - mRstraight omega squared space cos squared space straight lambda
That is, 
space space space space space 3 over 4 space mg space equals space mg space equals space mR space straight omega squared space cos squared space 60 to the power of 0 space space space space 1 fourth space mg space equals space straight m space straight R space straight omega squared space straight x space 1 fourth rightwards double arrow space space space space space space space space straight omega space equals space square root of straight g over straight R end root space equals space square root of fraction numerator 9.8 over denominator 6400 space straight x space 10 cubed end fraction end root space space space space space space space space space space space space space space space space space space space equals space square root of fraction numerator 98 over denominator 64 space straight x space 10 to the power of 6 end fraction end root space equals space fraction numerator 7 square root of 2 over denominator 8 space straight x space 10 cubed end fraction space rightwards double arrow space space space space space space space space space straight omega space equals space space 1.24 space straight x space 10 to the power of negative 3 end exponent space rad divided by sec
 

Some More Questions From Motion in Straight Line Chapter

Can a body be in motion in the frame associated with the body itself?

When an object in motion can be considered as particle or point object?

Can you think of physical phenomena involving the moon in which moon cannot be treated as particle?

A train is crossing the bridge. Can it be taken as a particle?

Can a train be taken a particle? Give an example in support of your answer.

 A particle is moving along curved line in space. Is the motion one dimensional?

State which of the following are examples of one, two or three dimensional motion: 

(a) A kite flying in the sky.

(b) The earth revolving around the sun. 

(c) A train moving along the equator of the earth in clockwise direction. 

(d) Accelerated motion of a particle in a straight line.

Define distance.

Define displacement.

Can magnitude of displacement be greater than distance travelled by particle?

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