3. A thin, rectangular sheet of metal has mass M and sides of length a and b. Use the parallel-axis theorem to caleulate the moment of inertia of the sheet for an axis that is perpendicular to the plane of the sheet and that pAes through one corner of the sheet.

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Q: 9. A uniform sphere, cylinder, and hoop (each with the same mass M and radius R) are going to…

A: All the 3 objects, the sphere, hoop and the cylinder have an equal mass M and an equal radius R. All…

Q: 2. An odd-shaped object rotates at a speed of 9.0 rev/s. A small 30. g mass with moment of inertia 1…

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Q: A Solid cylinder with a moment of inertia 1/2mr2 and a hoop with moment of inertia mr2 are released…

A: Given :-  I of cylinder = 1/2 (mr2) I of hoop = (mr2) α = 30o =  π/6 rad. torque of cylinder = I α =…

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A: Given that,  Net torque, τ=2.4 N.m Moment of inertia, I=0.74 Kg.m^2

Q: 4. If the plate shown in the figure has a density of 8000 kg/m' and a thickness of 0.01m, determine…

A: Inertia is defined as the resistance to angular acceleration of a body that is equivalent to the…

Q: An object is formed by attaching a uniform, thin rod with a mass of mr = 6.57 kg and length L = 5.2…

A: mass of the rod = mr = 6.57 kg length = L = 5.2 m mass of sphere = ms= 32.85 kg

Q: A typical compact disk has a mass of 15 g and a diameter of 120 mm. What is its moment of inertia…

A: Given:Mass of the compact disk is 15g and diameter of the disk is 120mm.Formula :Write the…

Q: The moment of inertia of a uniform rod (about its center) is given by /= ML2/12. What is the kinetic…

A: Given: The mass of the rod is 450 g = 0.45 kg.                                      {  1 g = 0.001…

Q: 9. A thin uniform rod of length L and density p = M/L rotates about y axis as shown in the figure…

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Q: 2. Consider a 15-lb, thin, square plate 2½ feet along each side. You wish to modify this plate to…

A: Given data: The weight of the square plate is  W=15 lb=6.8  Kg length of sides of the square plate…

Q: What is the moment of inertia about an axis passing through point P of the plate if the plate has a…

A: Radius of plate is Diameter of the hole is Density of the plate is Thickness is Note:Find:Moment of…

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A: Given equation, gh = 1v2 + 12Iv2r2 The ball is rolled down from an inclined plane of height is given…

Q: A thin laminate limited by = √x, x = 4 y = 0,. The density of the sheet is p (x, y) = x + y. Find…

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Q: 7. An aluminum disk has a mass m, radius R, and area A. It has an area mass density (mass per unit…

A: Given data: Mass of the aluminum disk is, m The radius of the aluminum disc is, R The area of the…

Q: Consider a bouncy ball and a metal cylinder on a 20° incline. Everyone knows a regular bouncy ball…

A: Given that: θ=20°mb=29g=0.029 kgDb=2.5 cmRb=2.5 2=1.25 cm=1.25×10-2  mLc=5 cm=0.05 mDc=1…

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A: Given Data The length of the rod is:L=4m The mass of the spherical object is:ms=9kg The radius of…

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Q: 2. A hollow sphere of radius R = 0.15 m rolls without slipping on a horizontal surface. The moment…

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Q: Computation. Consider a stick 1.00 m long and its moments of inertia about axes perpendicular to the…

A: Given A rod with known length of 1 m. Here 2 axes, one is through center of mass. Other is at…