EASY
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One radian is approximately equal to

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Important Questions on Circular Motion

MEDIUM
Let P be a closed polygon with 10 sides and 10 vertices (assume that the sides do not intersect except at the vertices). Let k be the number of interior angles of P that are greater than 180o. The maximum possible value of k is
EASY
In a uniform circular motion r,V and ω stands for radius vector, linear velocity and angular velocity respectively. Then which of the following is true?
MEDIUM

 Study the following question and decide that which of the following information is sufficient to answer the question? What is the value of ACB ?

Information:

1. Question Image

2.D=600

MEDIUM

A ball is rolling without slipping in a spherical shallow bowl (radius R ) as shown in the figure and is executing simple harmonic motion. If the radius of the ball is doubled, then the time period of oscillation

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EASY

In the given diagram, point R and Q are on PS. ÐPQT = x°, ÐRQT = (x – 50)° and ÐTUR = (x + 25°). find the value of ÐURS.

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EASY
A body is moving with constant speed, in a circle of radius 10 m. The body completes one revolution in 4 s. At the end of 3rd second, the displacement of body (in m) from its starting point is:
EASY
A, B and C are three points on a circle such that the angles subtended by the chords AB and AC at the centre O are 80° and 120°, respectively. The value of BAC is:
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EASY
The angle of 1' (minute of arc) in radian is nearly equal to
MEDIUM
A uniform solid sphere of radius R and radius of gyration K about an axis passing through the centre of mass, is rolling without slipping. Then the fraction of total energy associated with its rotation will be
EASY
An angle which is greater than 180° but less than 360° is known as
EASY

In ABC, if AB=AC and BAC=40, then the measure of B is:

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EASY

Read the given question and decide which of the following information is sufficient to answer the question.

What is the value of 0?

Information :

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(II) 0 < q < 90°

HARD
Two chords AB and CD of a circle with centre O intersect each other at P. If APC=95° and AOD =110°, then BOC is:
MEDIUM
From a circular disk of radius 13 cm a sector is cut with centre angle θ. If the height of the right circular cone formed using the above sector is 12 cm then θ is
HARD
A cylinder of mass, m is allowed to roll on a smooth horizontal table with a spring of spring constant, k attached to it so that it executes SHM about the equilibrium position. What is the time period, T of oscillations?
EASY
A particle of mass 10 g moves along a circle of radius 6.4 cm with a constant tangential acceleration. What is the magnitude of this acceleration if the kinetic energy of the particle becomes equal to 8×10-4 J by the end of the second revolution after the beginning of the motion?
MEDIUM

A huge circular arc of length 4.4 ly subtends an angle 4s at the centre of the circle. How long it would take for a body to complete 4 revolution if its speed is 8 AU per second?
Given : 1 ly=9.46×1015 m

1 AU=1.5×1011 m