40002. The member which does not carry zero force in the structure shown in below figure, is
40003. The equation of motion of a particle starting from rest along a straight line is x = t3 - 3l2 + 5. The ratio of the velocities after 5 sec and 3 sec will be
40004. The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6 cm, about centroidal axis, is
40005. 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
40006. The resultant of two forces acting at right angles is 34 kg and acting at 60° is 70 kg. The forces are
40007. The velocity of a body fallen from height h, on reaching the ground is given by
40008. Two particles have been projected at angles 64° and 45° to the horizontal. If the velocity of projection of first is 10 m/sec, the velocity of projection of the other for equal horizontal ranges is
40009. 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
40010. The necessary condition of equilibrium of a body, is :
40011. A trolley wire weighs 1 kg per metre length. The ends of the wire are attached to two poles 20 m apart. If the horizontal tension is 1000 kg, the central dip of the cable is
40012. Principle of Transmissibility of Forces states that, when a force acts upon a body, its effect is
40013. A ball is dropped from a height of 2.25 m on a smooth floor and rises to a height of 1.00 m after the bounce. The coefficient of restitution between the ball and the floor is
40014. If the linear velocity of a point on the rim of a wheel of 10 m diameter, is 50 m/sec, its angular velocity will be
40015. A marble ball is rolled on a smooth floor of a room to hit a wall. If the time taken by the ball in returning to the point of projection is twice the time taken in reaching the wall, the coefficient of restitution between the ball and the wall, is
40016. A number of forces acting simultaneously on a particle of a body
40017. The moment of inertia of the shaded portion of the area shown in below figure about the X-axis, is
40018. The force acting on a point on the surface of a rigid body may be considered to act
40019. A satellite is said to move in a synchronous orbit if it moves at an altitude of 36, 000 km with a maximum velocity of about
40020. Which among the following is an induced ovulator?
40021. A 49 kg lady stands on a spring scale in an elevator. During the first 5 sec, starting from rest, the scale reads 69 kg. The velocity of the elevator will be
40022. Pick up the correct statement from the following. A rubber ball when strikes a wall rebounds but a lead ball of same mass and velocity when strikes the same wall, falls down
40023. 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
40024. A rod 5 m in length is moving in a vertical plane. When it is inclined at 60° to horizontal, its lower end is moving horizontally at 3 m/sec and upper end is moving in vertical direction. The velocity of its upper end, is
40025. A retarding force on a body does not
40026. The unit of force in C.G.S. system of units, is called
40027. 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
40028. The force which produces an acceleration of 1 m/sec2 in a mass of one kg, is called
40029. The units of inertia of mass, are
40030. A sphere is resting on two planes BA and BC which are inclined at 45° and 60° respectively with the horizontal. The reaction on the plane BA will be
40031. A projectile is fired at an angle θ to the vertical. Its horizontal range will be maximum when θ is
40032. 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
40033. 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
40034. One half of a vibration of a body, is called
40035. On a ladder resisting on a smooth ground and leaning against a rough vertical wall, the force of friction acts
40036. The acceleration of a particle moving along the circumference of a circle with a uniform speed, is directed
40037. From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The c.g. of the remainder shifts from the original position through
40038. 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
40039. In simple harmonic motion, acceleration of a particle is proportional to
40040. A heavy ladder resting on a floor and against a vertical wall may not be in equilibrium, if
40041. 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
40042. To double the period of oscillation of a simple pendulum
40043. For a particle moving with a simple harrmonic motion, the frequency is
40044. According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centres lie on
40045. A ball of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/sec hits an identical stationary ball B on the table. If the impact is perfectly plastic, the velocity of the ball B just after impact would be
40046. If α is the angular acceleration of a compound pendulum whose angular displace ment is θ, the frequency of the motion is
40047. If two forces each equal to T in magnitude act at right angles, their effect may be neutralised by a third force acting along their bisector in opposite direction whose magnitude will be
40048. Energy may be defined as
40049. The intrinsic equation of catenary is
40050. A ball which is thrown upwards, returns to the ground describing a parabolic path during its flight
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