A coin is placed on a horizontal platfor...

A coin is placed on a horizontal platform which undergoes vertical simple harmonic motion of angular frequency `omega`. The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first time

at the highest position of the platform

at the mean position of the platform

for an amplitude of `(g)/(omega^2)`

for and amplitude of `sqrt((g)/(omega))`

Text Solution

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The correct Answer is:

A, C

Let O be the mean position and a be the acceleration at a displacement x from O
At position I, `N-mg=ma`
`Nne0`
At position II, `mg-N=ma`
For `N=0` (lost of contant), `g=a=omega^2x`.
Loss of contact will occur for amplitude `x_(max)=(g)/(omega^2)` at the highest point of the motion.

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In the previous question, the angular frequency of the simple harmonic motion is omega . The coefficient of friction between the coin and the platform is mu . The amplitude of oscillation is gradually increased. The coin will begin to slip on the platform for the first time (i) at the extreme positions of oscillations (ii) at the mean position (iii) for an amplitude of (mug)/(omega^2) (iv) for an amplitude of (g)/(muomega^2)

(i),(iii)

(ii), (iii)

(i), (iv)

(ii),(iv)

A coin is placed on a horizontal platform, which undergoes horizontal simple harmonic motion about a mean position O. The coin does not slip on the platform. The force of friction acting on the coin is F. (i) F is always directed towards O (ii) F is directed towards O when the coin is moving away from O, and away from O when the coin moves towards O (iii) F=0 when the coin and platform come to rest momentarily at the extreme position of the harmonic motion (iv) F is maximum when the coin and platform come to rest momentarily at the extreme position of the harmonic motion

F is always directed towards O

F is directed towards O when the coin is moving away from O, and away from O when the coin moves towards O

`F=0` when the coin and platform come to rest momentarily at the extreme position of the harmonic motion

F is maximum when the coin and platform come to rest momentarily at the extreme position of the harmonic motion

A block of 0.5kg is placed on a horizontal platform. The system is making vertical oscillations about a fixed point with a frequency of 0.5 Hz . The maximum displacement of oscillation, if the block does not lose contact with the horizontal platform is nearly

`0.5 m`

`0.75m`

`1m`

`1.2m`

A coin is placed on a horizontal platform which undergoes vertical simple harmonic motion of angular frequency `omega`. The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first time

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A block of 0.5kg is placed on a horizontal platform. The system is making vertical oscillations about a fixed point with a frequency of 0.5 Hz . The maximum displacement of oscillation, if the block does not lose contact with the horizontal platform is nearly

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CENGAGE PHYSICS-LINEAR AND ANGULAR SIMPLE HARMONIC MOTION-Multiple Correct