Author: Physics Notebook
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What Is ‘Bending Of Beams’?
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Bending of beams: A beam is a bar or a rod of a uniform cross-sectional area which may be rectangular or circular, of a homogeneous isotropic elastic material. The length of it is much greater than the breadth or depth, as a result, the shearing stresses over any section are negligibly small and the bending…
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What Is Torsional Pendulum? Find The Periodic Time Of Torsional Pendulum.
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Torsional Pendulum: A heavy cylindrical rod or disc is suspended from one end of a fine wire which is attached to its centre and the upper end is fixed. This system constitutes a torsional pendulum.The cylindrical rod or disc is twisted in a plane perpendicular to the axis of the cylindrical rod, as a result,…
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Calculate The Torsional Rigidity ( Twistng Couple Per Unit Twist ) Of A Tapering Wire.
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Torsional rigidity of a tapering wire: Let us consider a tapering wire of length l and rigidity of modulus . The end radii are and . Here as shown in the figures. Let us consider an elementary small spherical disc of radius and thickness at a distance from the fixed end of radius of the…
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Calculate The Work Done In Twisting A Wire Or Cylinder.
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Work done in twisting a wire or cylinder: Let us consider a cylindrical wire of radius r and length l. The wire is clamped at the upper end and a twisting couple is applied at the lower end in a plane perpendicular to its length with its axis coinciding with that of the wire. This…
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Explain, Why A Hollow Cylinder Is Stronger Than A Solid Cylinder Of Same Mass, Length, And Material.
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A hollow cylinder has a greater torsional rigidity than a solid one of same mass, length, and material: Let us consider a solid cylinder of radius , length . The modulus of rigidity of the material of the cylinder is . So the twisting couple per unit twist of this solid cylinder is given by,…
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Derive An Expression Of The Couple For A Hollow Cylinder, Also Find The Value Of Torsional Rigidity.
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Couple of a hollow cylinder: Let us consider a hollow cylinder of inner radius , outer radius and length . is the rigidity modulus of the material of the hollow cylinder. Then we know that the moment of force or torque about the axis of the cylinder is given by, , [ Read In Detail…
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Derive An Expression Of The Couple Or Torque Required To Twist A Uniform Solid Cylindrical Rod, Clamped At One End.
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Couple or torque required to twist a uniform solid cylinder: Let us consider a uniform solid cylindrical rod of radius , length made of a material of rigidity modulus , this cylindrical rod is clamped at one end and a twisting couple is applied to the lower end in a plane perpendicular to its length…
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What Is ‘Angle Of Twist’ And ‘Angle Of Shear’?
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Angle of twist: When a twisting couple is applied to the lower face of a cylinder, clamped at the upper end, in a direction perpendicular to the length of the cylinder, the radius of the lower end twisted through an angle , which is known as the angle of twist.Since the twist neither produces a…
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Calculate The Height Of The Liquid Column Upto Which It Can Be Kept In A Vessel With A Small Hole At The Bottom.
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Let us consider a liquid drop which is about to be forced out of the hole of radius has a hemispherical shape, then will be the excess pressure inside the drop, where is the surface tension of the liquid.The pressure of the liquid column is , where is the height of the liquid column, is…
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Calculate The Critical Radius Of A Liquid Drop To Evaporate.
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The liquid drop needs latent heat to evaporate. This latent heat of vaporization at a constant temperature is supplied by the surface energy.Let, be the radius of a liquid drop, be the surface tension of the liquid, then the surface energy associated with this liquid drop is given by, Surface energy= surface area its surface…