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A frame will be inertial, if it moves wi...

A frame will be inertial, if it moves with respect to another inertial frame with a constant :-

A

Linear velocity

B

Angular velocity

C

Linear acceleration

D

All of the above

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The correct Answer is:
A
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A frame of reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular velocity omega is an example of non=inertial frame of reference. The relationship between the force vecF_(rot) experienced by a particle of mass m moving on the rotating disc and the force vecF_(in) experienced by the particle in an inertial frame of reference is vecF_(rot)=vecF_(i n)+2m(vecv_(rot)xxvec omega)+m(vec omegaxx vec r)xxvec omega . where vecv_(rot) is the velocity of the particle in the rotating frame of reference and vecr is the position vector of the particle with respect to the centre of the disc. Now consider a smooth slot along a diameter fo a disc of radius R rotating counter-clockwise with a constant angular speed omega about its vertical axis through its center. We assign a coordinate system with the origin at the center of the disc, the x-axis along the slot, the y-axis perpendicular to the slot and the z-axis along the rotation axis (vecomega=omegahatk) . A small block of mass m is gently placed in the slot at vecr(R//2)hati at t=0 and is constrained to move only along the slot. The distance r of the block at time is

A frame of reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular velocity omega is an example of non=inertial frame of reference. The relationship between the force vecF_(rot) experienced by a particle of mass m moving on the rotating disc and the force vecF_(in) experienced by the particle in an inertial frame of reference is vecF_(rot)=vecF_(i n)+2m(vecv_(rot)xxvec omega)+m(vec omegaxx vec r)xxvec omega . where vecv_(rot) is the velocity of the particle in the rotating frame of reference and vecr is the position vector of the particle with respect to the centre of the disc. Now consider a smooth slot along a diameter fo a disc of radius R rotating counter-clockwise with a constant angular speed omega about its vertical axis through its center. We assign a coordinate system with the origin at the center of the disc, the x-axis along the slot, the y-axis perpendicular to the slot and the z-axis along the rotation axis (vecomega=omegahatk) . A small block of mass m is gently placed in the slot at vecr(R//2)hati at t=0 and is constrained to move only along the slot. The distance r of the block at time is

What is inertial force ?

No external force: Mass center moving relative to an inertial frame moves with constant velocity Two particles of masses 2 kg and 3 kg are moving under their mutual interaction in free space. At an instant they were observed at points(-2m,1m,4m) and(2m,-3m,6m) with velocities (3hati-2hatj+hatk)m//s " and " (-hati+hatj-2hatk)m//s respectively. If after 10 sec, the first particle passes the point (6m,8m,-6m), find coordinate of the point where the second particle at this instant?

Assertion :- A particle on earth found to be at rest when seen from a frame U_(1) and moving with a constant velocity when seen from another frame U_(2) . Then both frames may be non - inertial. Reason :- A reference frame attached to the earth must be an inertial frame.

STATEMENT -1 : For an observer looking out through the window of a fast moving train , the nearby objects appear to move in the opposite direction to the train , while the distant objects appear to be stationary . STATEMENT - 2 : If the observer and the object are moving at velocities vec v_(1) and vec v_(2) respecttively with refrence to a laboratory frame , the velocity of the object with respect to a laboratory frame , the velocity of the object with respect to the observer is vecv_(2) - vecv(1) .

A car starting from position of rest, moves with constant acceleration x. Then it moves with constant deceleration y and become stationary. If the total time elapsed during this is t, then the total distance travelled by car in time t is

The magnetic force depends on v which depends on the inertial frame of reference. Does then the magnetic force differ from inertial frame to frame ? Is it reasonable that the net acceleration has a different value in different frames of reference ?

A uniform wire frame ABC is in the shape of an equilateral triangle in xy- plane with centroid at the orgin. Then :-

ALLEN -NEWTONS LAWS OF MOTION-EXERCISE-II
  1. Two masses of 1 kg and 5 kg are attached to the ends of a massless str...

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  2. A player catches a ball of 200 gm moving with a speed of 20 m/s. if th...

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  3. A frame will be inertial, if it moves with respect to another inertial...

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  4. Two masses 10kg and 20 kg respectively are connected by a massless spr...

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  5. The pulley arrangements shown in figure are identical, the mass of the...

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  6. What is the mechanical advantage of single fixed pulley:-

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  7. Three masses of 1 kg, 6 kg and 3 kg are connected to each other with t...

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  8. A balloon of mass M is descending at a constant acceleration alpha. Wh...

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  9. The surface are frictionless, the ratio of T(1) and T(2) is

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  10. The elevator shown in fig. is descending with an acceleration of 2ms^(...

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  11. Two blocks of masses 6 kg and 4 kg are connected with rope of mass 2 k...

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  12. A block of mass 2 kg is placed on the floor . The coefficient of stati...

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  13. What force F must be applied so that m(1) and m(2) are at rest on m(3)...

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  14. A tennis ball is dropped on the floor from a height of 20m. It rebound...

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  15. The frictional force of the air on the body of mass 0.25kg, falling wi...

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  16. A man weighing 100 kg carriesa load of 10kg on his head. He jumps from...

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  17. Two masses of 10kg and 5kg are suspended from a rigid support as shown...

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  18. A ship of mass 3xx10^(2)kg initially at rest is pulled by a force of 5...

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  19. A 150 g ball, moving horizontally at 20m/s was hit straight back to bo...

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  20. A block of mass 15kg is placed on a long trolley. The cofficient of fr...

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