If the masses of both the bodies, as shown in the below figure, are doubled, then the acceleration in the string will be
The loss of kinetic energy during inelastic impact, is given by(where m1 = Mass of the first body,m2 = Mass of the second body, and u1 and u2 = Velocities of the first and second bodies respectively.)
The centre of gravity of a hemisphere lies at a distance of 3r / 8 from its base measured along the vertical radius.
The above figure shows the three coplaner forces P, Q and R acting at a point O. If these forces are in equilibrium, then
Moment of inertia of a rectangular section having width (b) and depth (d) about an axis passing through its C.G. and parallel to the depth (d), is
The polygon law of forces states that if a number of forces, acting simultaneously on a particle, be represented in magnitude and direction by the sides a polygon taken in order, then their resultant is represented in magnitude and direction by the closing side of the polygon, taken in opposite direction.
A smooth cylinder lying on a __________ is in neutral equilibrium.
Varingon's theorem of moments states that if a number of coplaner forces acting on a particle are in equilibrium, then
The velocity of a particle (v) moving with simple harmonic motion, at any instant is given by(where r = Amplitude of motion, and y = Displacement of the particle from mean position.)
A block ot mass 20 kg lying on a rough horizontal plane is connected by a light string passing over a smooth pulley to another mass 5 kg, which can move freely in the Vertical direction, as shown in the below figure. The tension in the string will __________ with the increase in coefficient of friction.
Coefficient of friction = m1g/(m1 + m2).
Tension = m1m2g/(m1+m2).
So both +ve so increase.
One end of a helical spring is fixed while the other end carries the load W which moves with simple harmonic motion. The frequency of motion is given by(where δ = Deflection of the spring.)
Time = 2π(√δ/g).
frequency = 1/time.
The angle of inclination with the vertical is __________ if the cyclist is running at a faster speed than that when he is running at a slower speed.
The range of projectile(R) on an upward inclined plane is
The centre of gravity of a right circular solid cone is at a distance of __________ from its base, measured along the vertical axis.(where h = Height of a right circular solid cone.)
In actual machines, mechanical advantage is __________ velocity ratio.
The radius of gyration is the distance where the whole mass (or area) of a body is assumed to be concentrated.
If three coplaner forces acting on a point are in equilibrium, then each force is proportional to the sine, of the angle between the other two.
A rubber ball is dropped from a height of 2 m. If there is no loss of velocity after rebounding, the ball will rise to a height of
In the shown figure, the tension (T) in the string will be
When the spring of a watch is wound, it will possess
In a framed structure, as shown in the below figure, the force in the member CD is tensile in nature.
An irregular body may have more than one centre of gravity.
The rate of doing work is known as
In a wormed geared pulley block, if the number of teeth on the worm wheel is doubled, then its velocity ratio is also doubled.
Moment of inertia of a circular section about its diameter (d) is