The angle of projection for a range is equal to the distance through which the particle would have fallen in order to acquire a velocity equal to the velocity of projection, will be
The maximum frictional force which comes into play, when a body just begins to slide over the surface of a an other body, is known
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
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
Akg boy climbs up a 8 m rope in gymnasiam insec. The average power developed by the boy is approximately
To avoid bending action at the base of a pier,
The characteristic of a couple, is :
Two particles have been projected at anglesandto the horizontal. If the velocity of projection of first ism/sec, the velocity of projection of the other for equal horizontal ranges is
The ratio of the moment of inertia of a rectangle about its centroidal axis to the moment of inertia about its base, is
Angular acceleration of a particle may be expressed as
A projectile is fired at an angle θ to the vertical. Its horizontal range will be maximum when θ is
A particle executes a simple harmonic motion. While passing through the mean position, the particle possesses
If the linear velocity of a point on the rim of a wheel ofm diameter, ism/sec, its angular velocity will be
A rod 5 m in length is moving in a vertical plane. When it is inclined atto 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
For perfectly elastic bodies, the value of coefficient of restitution is
Two shots fired simultaneously from the top and bottom of a vertical tower with elevations ofandrespectively strike a target simultaneously. If horizontal distance of the target from the tower ism, the height of the tower is
The velocity of a moving body, is
The force acting on a point on the surface of a rigid body may be considered to act
The apparent weight of a man in a moving lift is less than his real weight when it is going down with
A load ofkg was lifted through a distance ofcm. by an effort ofkg which moved through a distance ofcm. The mechanical advantage of the lifting machine is
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
Varigon's theorem of moments states
A satellite is said to move in a synchronous orbit if it moves at an altitude ofkm with a maximum velocity of about
The necessary condition of equilibrium of a body, is :
P is the force acting on a body whose mass is m and acceleration is f. The equation P - mf =is known as
Energy may be defined as
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
If G is the Gauge of track, v is velocity of the moving vehicle, g is the acceleration due to gravity and r is the radius of a circular path, the required superelevation is
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