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A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection?
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Two forces act an angle of 120°. If the greater force is 50 kg and their resultant is perpendicular to the smaller force, the smaller force is
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4
The product of mass and velocity of a moving a body, is called
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One Joule is equivalent to
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The displacement of a particle which moves along a straight line is given by S = 4t3 + 3t2- 10 where S is in meters and t is in seconds. The time taken by the particle to acquire a velocity of 18 m/sec from rest, is
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4
In a simple screw jack, the pitch of the screw is 9 mm and length of the handle operating the screw is 45 cm. The velocity ratio of the system is
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The mechanical advantage of an ideal machine is 100. For moving the local through 2 m, the effort moves through
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The following factor affects the orbit of a satellite up to an altitude of 720 km from the earth's surface
A. Uneven distribution of the gravitational field
B. Gravity of the sun and the moon
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The instantaneous centre of a member lies at the point of intersection of two lines drawn at the ends of the member such that the lines are inclined to the direction of motion of the ends at
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A spring scale in a stationary lift shows a reading of 60 kg for a man standing on it. If the lift starts descending at an acceleration of g/5, the scale reading would be
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A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The mechanical advantage of the lifting machine is
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If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are
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The acceleration of a particle moving along the circumference of a circle with a uniform speed, is directed
B. Tangentially at that point
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Three forces which act on a rigid body to keep it in equilibrium. The forces must be coplanar and
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Free body diagram is an
A. Isolated joint with only body forces acting on it
B. Isolated joint with internal forces acting on it
C. Isolated joint with all the forces, internal as well as external, acting on it
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A particle executes a simple harmonic motion. While passing through the mean position, the particle possesses
A. Maximum kinetic energy and minimum potential energy
B. Maximum kinetic energy and maximum potential energy
C. Minimum kinetic energy and maximum potential energy
D. Minimum kinetic, energy and minimum potential energy
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If g1 and g2 are the gravitational accelerations on two mountains A and B respectively, the weight of a body when transported from A to B will be multiplied by
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If the radius of the earth is 600 km the height of a mountain above sea level at the top of which a beat seconds pendulum at sea level, looses 27 seconds a day, is
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A retarding force on a body does not
A. Change the motion of the body
B. Retard the motion of the body
C. Introduce the motion of the body
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Pick up the incorrect statement from the following. In case of suspension bridge due to rise in temperature,
A. Dip of the cable increases
B. Length of the cable increases
C. Dip of the cable decreases
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The vertical reaction at the support A of the structure shown in below figure, is
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When a circular wheel rolls on a straight track, then the shape of body centrode and space centrode respectively are
A. Straight line and parabola
B. Straight line and circle
C. Circle and straight line
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One Newton is equivalent to
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If two equal forces of magnitude P act at an angle θ, their resultant, will be
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The reaction at the support D of the continuous beam ABCD, hinged at two points shown in below figure is
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Rate of change of angular momentum is equal to
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A light rope is loaded with many equal weights at equal horizontal intervals. The points of suspension on the rope lie on a
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The angular speed of a car while taking a circular turn of radius 100 m at 36 km/hour, is
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The maximum displacement of a particle executing S.H.M. corresponds to
A. Zero potential energy and maximum kinetic energy
B. Zero kinetic energy and maximum potential energy
C. Maximum kinetic energy and maximum potential energy
D. Minimum kinetic energy and minimum potential energy
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When a body slides down an inclined surface, the acceleration (f) of the body, is given by