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A square plate of mass M and edge L is shown in figure. The moment of inertia of the plate about the axis in the plane of plate passing through one of its vertex making an angle 15° from horizontal is.
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The correct answer is:
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Moment of inertia of a rectangular plate about an axis passing through P and perpendicular to the plate is I. Then moment of PQR about an axis perpendicular to the plane of the plate:
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A point mass mA is connected to a point mass mB by a massless rod of length l as shown in the figure. It is observed that the ratio of the moment of inertia of the system about the two axes BB and AA, which is parallel to each other and perpendicular to the rod is The distance of the centre of mass of the system from the mass A is
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A particle of mass m moving horizontally with v0 strikes a smooth wedge of mass M, as shown in figure. After collision, the ball starts moving up the inclined face of the wedge and rises to a height h.
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Choose the correct statement(s) related to particle m
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A particle of mass m moving horizontally with v0 strikes a smooth wedge of mass M, as shown in figure. After collision, the ball starts moving up the inclined face of the wedge and rises to a height h.
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A particle of mass m moving horizontally with v0 strikes a smooth wedge of mass M, as shown in figure. After collision, the ball starts moving up the inclined face of the wedge and rises to a height h.
Identify the correct statement(s) related to the situation when the particle starts moving downward.
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A particle of mass m moving horizontally with v0 strikes a smooth wedge of mass M, as shown in figure. After collision, the ball starts moving up the inclined face of the wedge and rises to a height h.
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A particle of mass m moving horizontally with v0 strikes a smooth wedge of mass M, as shown in figure. After collision, the ball starts moving up the inclined face of the wedge and rises to a height h.
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A particle of mass m moving horizontally with v0 strikes a smooth wedge of mass M, as shown in figure. After collision, the ball starts moving up the inclined face of the wedge and rises to a height h.
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The diagram to the right shows the velocity-time graph for two masses R and S that collided elastically. Which of the following statements is true?
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II) Kinetic energy of the system (R & S) is minimum at t = 2 milli sec.
III) The mass of R was greater than mass of S.
The diagram to the right shows the velocity-time graph for two masses R and S that collided elastically. Which of the following statements is true?
I) R and S moved in the same direction after the collision.
II) Kinetic energy of the system (R & S) is minimum at t = 2 milli sec.
III) The mass of R was greater than mass of S.
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A particle of mass m is released from a height H on a smooth curved surface which ends into a vertical loop of radius R, as shown
The minimum value of H required so that the particle makes a complete vertical circle is given by
A particle of mass m is released from a height H on a smooth curved surface which ends into a vertical loop of radius R, as shown
The minimum value of H required so that the particle makes a complete vertical circle is given by
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