Physics-
General
Easy
Question
A disc of mass M and radius R is rolling with angular speed w on a horizontal plane, as shown in figure. The magnitude of angular momentum of the disc about the origin O is
![](data:image/png;base64,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)
The correct answer is: ![3 divided by 2 M R to the power of 2 end exponent omega](data:image/png;base64,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)
Related Questions to study
physics-
A light rod carries three equal masses A, B and C as shown in the figure the velocity of B in vertical position of rod if it is released from horizontal position as shown in the figure is .....
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)
A light rod carries three equal masses A, B and C as shown in the figure the velocity of B in vertical position of rod if it is released from horizontal position as shown in the figure is .....
![](data:image/png;base64,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)
physics-General
physics
, Then
is perprndicular to
, Then
is perprndicular to
physicsGeneral
physics
Linear momentum of a particle is
Find its magnitude
Linear momentum of a particle is
Find its magnitude
physicsGeneral
physics
and
Find ![Error converting from MathML to accessible text.](data:image/png;base64,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)
and
Find ![Error converting from MathML to accessible text.](data:image/png;base64,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)
physicsGeneral
physics
What is the angle between
and the resultant of
and ![Error converting from MathML to accessible text.](data:image/png;base64,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)
What is the angle between
and the resultant of
and ![Error converting from MathML to accessible text.](data:image/png;base64,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)
physicsGeneral
physics
and
Find ![Error converting from MathML to accessible text.](data:image/png;base64,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)
and
Find ![Error converting from MathML to accessible text.](data:image/png;base64,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)
physicsGeneral
physics
Out of the following pairs of forces, the resultant of which can not be 18 N
Out of the following pairs of forces, the resultant of which can not be 18 N
physicsGeneral
physics
is perpendicular to
and
=
What is the angle between
and ![Error converting from MathML to accessible text.](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA0AAAAWCAYAAAAb+hYkAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAVrfl2dQAAAHRJREFUeNpjYGBg+E8GHgVDEMAi7zEQ3wDidUAsTYwmZBAJxCdJ1cQExL9I1SQLxOeI1QSywQ2IDwKxMbEBAcIvgViH2NADATYgdgHiLUCsR6qfNIB4P6maQOAHOUH+hRRN8kBcDcQLSQk9kLMWA7EgVRIoANS3LKlRqKP3AAAAmXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtb3ZlciBhY2NlbnQ9InRydWUiPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj5CPC9taT48bW8gYWNjZW50PSJmYWxzZSI+JiN4QUY7PC9tbz48L21vdmVyPjwvbWF0aD5MusCnAAAAAElFTkSuQmCC)
is perpendicular to
and
=
What is the angle between
and ![Error converting from MathML to accessible text.](data:image/png;base64,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)
physicsGeneral
physics
If
is multiplied by 3, then the component of the new vector along z directions is
If
is multiplied by 3, then the component of the new vector along z directions is
physicsGeneral
maths-
1)
is divisible by
for all ![n element of N](data:image/png;base64,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)
2)
is divisible by
for all ![n element of N](data:image/png;base64,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)
3)
is divisible by
![n element of N](data:image/png;base64,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)
4)
is divisible by
for all
then the increasing order of
is
1)
is divisible by
for all ![n element of N](data:image/png;base64,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)
2)
is divisible by
for all ![n element of N](data:image/png;base64,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)
3)
is divisible by
![n element of N](data:image/png;base64,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)
4)
is divisible by
for all
then the increasing order of
is
maths-General
physics
Magnitudes of
and
are 41,40 and 9 respectively,
Find the angle between
and ![Error converting from MathML to accessible text.](data:image/png;base64,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)
Magnitudes of
and
are 41,40 and 9 respectively,
Find the angle between
and ![Error converting from MathML to accessible text.](data:image/png;base64,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)
physicsGeneral
physics
The sum of
and
is at right angles to their difference then
The sum of
and
is at right angles to their difference then
physicsGeneral
physics
The resultant of two forces of magnitude 2N and 3N can never be
The resultant of two forces of magnitude 2N and 3N can never be
physicsGeneral
physics
The resultant of two vetoers
and ![B with not stretchy bar on top](data:image/png;base64,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)
The resultant of two vetoers
and ![B with not stretchy bar on top](data:image/png;base64,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)
physicsGeneral
Maths-
Let
is an even integer. If
is assumed true
is true. Therefore
is true :
Let
is an even integer. If
is assumed true
is true. Therefore
is true :
Maths-General