The perpendicular axis theorem states that the moment of inertia of a planar lamina (2-dimensional object) about an axis perpendicular to its plane and passing through the origin of two mutually perpendicular axes, lying in the plane of the object, is equal to the sum of the moments of inertia of the lamina about axes […]
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The parallel axis theorem states that the moment of inertia of a rigid body about an axis parallel to the axis passing through its center of mass is equal to the sum of the moment of inertia of the object about the axis passing through the center of mass and product of the mass of
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Rotational kinetic energy is a part of the total kinetic energy of a rolling object and it is due to the rotation of the object. The rotational kinetic energy of an object is given by; Where is the moment of inertia of the body about the axis of rotation, and is the angular velocity
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In the history of science, Newton was the first who was able to recognize the gravitational force and gave a famous theory called Newton’s law of gravitation. According to Newton’s law of gravitation the gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of
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A physical pendulum is a kind of rigid body that can oscillate about a fixed point, just like the oscillation of a simple pendulum, but cannot be modeled as a point mass on a light string, and so its motion depends on the distribution of its mass. It is also known as the Compound Pendulum.
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The Coulomb’s Law of Electrostatic Force gives the force between two stationary charged particles. It states that the force between two charged particles is directly proportional to the multiplication of the charges and inversely proportional to the square of the distance between them. According to this law, the magnitude of the electrostatic force between two
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Electric Flux: The electric flux through a small surface is given by; Where, is the electric field through the surface . And the electric flux through a surface of the area is given by; Gauss’s Law: Gauss’s law for electrostatics is the simplest method to find the electric field at any point near a charge
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QUESTION: A solid cylindrical pulley with a mass of and radius of is free to rotate about its axis. A block of mass is attached to the pulley with a light string. Assume the string does not stretch or slip. Calculate (a) the tension in the string and (b) the angular acceleration of the pulley.
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QUESTION: A uniform solid sphere of radius starts rolling down without slipping from the top of another fixed sphere of radius . Find the angular velocity of the sphere of radius at the instant when it leaves contact with the surface of the fixed sphere. Please Click Here for the concept behind this problem. SOLUTION:
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QUESTION: A physical pendulum consists of long sticks joined together as shown in the figure. What is the pendulum’s period of oscillation about the midpoint of the horizontal stick? Please Click Here for the concept behind this problem. SOLUTION: Given: The length of the stick is . Let: Mass of the stick is So, the
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