Moment of inertia of a disc about axis passing through Centre of mass and perpendicular to plane
if I = Moment of inertia of a disc about axis passing through its edge and perpendicular to plane
applying parellal axis theorm
k = boltzman constant
The surface area of a solid cylinder of radius 2.0 cm and height 10.0 cm in is equal to
Radius of cylinder r = 2 cm = 20 mm
Height of cylinder h = 10 cm = 100 mm
Surface area of cylinder =
=
=
= 15072 mm2
(as)
Thus total energy of the oscillator remains constant as displacement is regained after every half cycle.
no energy is dissipated then all the potential energy becomes kinetic and vice versa.
Figure below shows the variation of kinetic energy and potential energy of harmonic oscillator with time where phase φ is set to zero for simplicity
Let L be the width of the film. Since the film has two surfaces, the total length along which the surface force acts on the slider is 2L. The surface tension S in the film is defined as the ratio of the surface force F to the length d (perpendicular to the force) along which the force acts
Hence, in the case, d = 2L
The described situation is shown in the given figure.
Here,
vc = Velocity of the cyclist
vr = Velocity of falling rain
In order to protect herself from the rain, the woman must hold her umbrella in the direction of the relative velocity (v) of the rain with respect to the woman.
v = vr + (-vc)
= 30 + (-10) = 20 m/s
tan θ =
θ = tan-1