Related Questions
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The C.G. of a thin hollow cone of height h, above its base lies on the axis, at a height of
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The velocity of a moving body, is
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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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The angle of projection at which the horizontal range and maximum height of a projectile are equal to
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Periodic time of a particle moving with simple harmonic motion is the time taken by the particle for
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If the gravitational acceleration at any place is doubled, the weight of a body, will
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The C.G. of the shaded area of the below figure from the x-axis is
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In a lifting machine a weight of 5 kN is lifted through 200 mm by an effort of 0.1 kN moving through 15 m. The mechanical advantage and velocity ratio of the machine are respectively
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Energy may be defined as
B. Capacity of doing work
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The velocity ratio of the differential wheel and axle is
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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 velocity ratio of the lifting machine is
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In SI units, the units of force and energy are respectively
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The maximum value of the horizontal range for a projectile projected with a velocity of 98 m/sec is
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From a circular plate of a diameter 6 cm is cut out a circle whose diameter is equal to the radius of the plate. The C.G. of the remainder from the centre of circular plate is at a distance of
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The centre of gravity of a homogenous body is the point at which the whole
A. Volume of the body is assumed to be concentrated
B. Area of the surface of the body is assumed to be concentrated
C. Weight of the body is assumed to be concentrated
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The unit of Moment of Inertia of a body, is
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A particle is dropped from a height of 3 m on a horizontal floor, which has a coefficient of restitution with the ball of 1/2. The height to which the ball will rebound after striking the floor is
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μ is coefficient of friction. A wheeled vehicle travelling on a circular level track will slip and overturn simultaneously if the ratio of its wheel distance to the height of its centroid, is
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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 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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The intrinsic equation of catenary is
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The resolved part of the resultant of two forces inclined at an angle θ in a given direction is
A. Algebraic sum of the resolved parts of the forces in the direction
B. Arithmetical sum of the resolved parts of the forces in the direction
C. Difference of the forces multiplied by cosine θ°
D. Sum of the forces multiplied by the tangent θ°
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In case of S.H.M. the period of oscillation (T), is given by
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The Law of Polygon of Forces states that
A. If a polygon representing the forces acting at point in a body is closed, the forces are in equilibrium
B. If forces acting on a point can be represented in magnitude and direction by the sides of a polygon taken in order, then the resultant of the forces will be represented in magnitude and direction by the closing side of the polygon
C. If forces acting on a point can be represented of a polygon taken in order, their sides of a polygon taken in order, their resultant will be represented in magnitude and direction by the closing side of the polygon, taken in opposite order
D. If forces acting on a point can be represented in magnitude and direction by the sides of a polygon in order, the forces are in equilibrium
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The moment of inertia of the shaded portion of the area shown in below figure about the X-axis, is
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On a mass m describing a circular path of radius r, the centrifugal force
A. Acts tangentially to the circular path
B. Acts towards the centre of rotation
C. Acts away from the centre of rotation
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One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then released. The motion is
A. A simple harmonic motion
B. A rectilinear motion with constant speed
C. A damped oscillatory motion
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According to Law of Triangle of Forces
A. Three forces acting at a point, can be rep-resented by the sides of a triangle, each side being in proportion to the force
B. Three forces acting along the sides of a triangle are always in equilibrium
C. If three forces acting on a, point can be represented in magnitude and direction, by the sides of a triangle taken in order, these will be in equilibrium
D. If the forces acting on a particle be represented in magnitude and direction by the two sides of a triangle taken in order, their resultant will be represented in magnitude and direction by the third side of the triangle, taken in opposite order
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For a simple pendulum, the period of one oscillation is
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Rate of change of angular momentum is equal to