Q. For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is

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Q. For a simple pendulum, time period for a beat, is

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Q. The member which does not carry zero force in the structure shown in below figure, is

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Q. The height at which the end of a rope of length l should be tied so that a man pulling at the other end may have the greatest tendency to overturn the pillar, is

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Q. The velocity of a body fallen from height h, on reaching the ground is given by

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Q. The centre of gravity of the trapezium as shown in below figure from the side is at a distance of

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Q. The moment of inertia of the shaded portion of the area shown in below figure about the X-axis, is

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Q. The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is b and the vertical side is a, from its vertical face is

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Q. If a particle moves with a uniform angular velocity ω radians/sec along the circumference of a circle of radius r, the equation for the velocity of the particle, is

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Q. If α is the angular acceleration of a compound pendulum whose angular displacement is θ, the frequency of the motion is

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Q. Two loads of 50 kg and 75 kg are hung at the ends of a rope passing over a smooth pulley shown in below figure. The tension in the string is :

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Q. A weight of 100 kg is supported by a string whose ends are attached to pegs A and B at the same level shown in below figure. The tension in the string is

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Q. The reaction at the support B of the beam shown in below figure is

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Q. If the velocity of projection is 4 m/sec and the angle of projection is α°, the maximum height of the projectile from a horizontal plane, is

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Q. A body of weight w placed on an inclined plane is acted upon by a force P parallel to the plane which causes the body just to move up the plane. If the angle of inclination of the plane is θ and angle of friction is φ, the minimum value of P, is

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Q. If the angle of projection is double the angle of inclination (α) of the plane on which particle is projected, the ratio of times of flight up the inclined plane and down the inclined plane, will be

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Q. In case of S.H.M. the period of oscillation(T), is given by

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Q. If α and u are angle of projection and initial velocity of a projectile respectively, the total time of flight, is given by

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Q. The reaction at the central support B of the beam ABC hinged at D shown in below figure is

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Q. If the resultant of two forces P and Q acting at an angle θ makes an angle α with P, then tan α equals

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