From a solid sphere of mass M and radius R, a cube of maximum possible volume is cut. Moment of inertia of cube about an axis passing through its centre and perpendicular to one of its faces is MR² (b) 32 √2n (a) 4MR² 9√√3π (c) MR² 16 √2T (4MR² 3√√3π (d)

Q: h the figure, two particles, each with mass m = 0.79 kg, are fastened to each other, and to a…

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Q: X A vector à of fixed length A is rotating about the z axis at a constant angular speed w. At t = 0,…

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Q: Review Conceptual Example 2 before attempting this problem. The moon has a diameter of 3.48 x 106 m…

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Q: A solid sphere with radius 2.4m and mass of 77 kg has a moment of inertia given by2/5mr^2. It is…

A: 12Iω2=mg∆h1225mr2ω2=mg∆h             ∆h=r2ω25g

Q: The disk with a mass of 0.4 kg and a radius of 2 cm (I = 1 / 2mr ^ 2) slows down as it rolls on a…

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Q: A pulsar is a rapidly rotating neutron star. The Crab nebula pulsar in the constellation Taurus has…

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Q: Paikot. A solid sphere of mass m = 3.5[kg], and radius r = 2.5[m] rolls without slipping on a flat…

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Q: A disk of mass M is spinning freely at 6.73 rad/s when a second identical disk, initially not…

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Q: he figure shows three 0.0183 kg particles that have been glued to a rod of length L=5.56 cm and…

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Q: The following angles are given in radians. Convert them todegrees: p>6, 0.70p, 1.5p, 5p.

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Q: The figure shows three 0.01 kg particles that have been glued to a rod of length L=6 cm and…

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Q: A circular platform is mounted on a frictionless vertical axle. Its radius R = 2m and its moment of…

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Q: A disk of mass M is spinning freely at 4.45 rad/s when a second identical disk, initialiy not…

A: Write the given values with suitable variables. Here, ω1i and ω2f are the initial angular speed of…

Q: A uniform solid disk of mass m = 3.07 kg and radius r = 0.200 m rotates about a fixed axis…

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Q: The figure shows three 0.0121 kg particles that have been glued to a rod of length L=6.41 cm and…

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Q: Prove that the moment of inertia of a solid sphere of uniform density, when rotating around a…

A: Let us consider a solid sphere of uniform density rotating about the z-axis. The sphere’s moment of…

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Q: In the figure, two particles, each with mass m = 0.77 kg, are fastened to each other, and to a…

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Q: A uniform solid disk of mass m = 3.04 kg and radius r = 0.200 m rotates about a fixed axis…

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Q: A force F of 15 N and a moment M of 40 Nm act on the 4 kg of rod AB. The angular velocity of the rod…

A: Given information: The applied force, F=15 N The moment is, M=40 N·m The mass of the rod, m=4 kg The…

Q: A solid disk of mass 9.3 kg and radius 0.23m is rotating with angular speed 32 rad/s. A thin…

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Q: A disk of mass M is spinning freely at 6.49 rad/s when a second identical disk, initially not…

A: Given Mass of disk = M Initial angular speed of disk = 6.49 rad/s A second identical disk is…

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Q: A disk of mass M is spinning freely at 7.69 rad/s when a second identical disk, initially not…

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Q: A force acting through the point (x, y, z) where x 3, y = -6 and z = 6 is given by the vector: F =…

A: The moment is defined as the product of the distance traveled by an object and the force that acts…

Q: A solid sphere of uniform density has a mass of 2.42 kg and a radius of 0.432 meters. A force of…

A: Given Data: The mass of a solid sphere is, M=2.42 kg The radius of a solid sphere is, R=0.432 m The…

Q: Four particles m_1,m_2,m_3 and m_(4 )are placed at the vertices of a rectangle at P_1 (0,0),P_2…

A: Moment of inertia I1 I1=m1r12+m2r22+m3r32+m4r42=m10+m2y2+m3d2+m4x2=1 kg0 m2+1.5 kg6 m2+2 kg10 m2+2.5…

Q: The figure shows three 0.0125 kg particles that have been glued to a rod of length L=6.17 cm and…

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Q: A uniform solid disk of mass m = 2.95 kg and radius r= 0.200 m rotates about a fixed axis…

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Q: Review Conceptual Example 2 before attempting this problem. The moon has a diameter of 3.48 x 106 m…

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Q: A particle of mass m = 10 kg is rotating around a point O at a radius r = 10 m. The angular position…

A: differentiation of angular position (θ) with respect to time is angular velocity (ω) dθ/dt = ω ω =…

Q: The figure shows a rigid assembly of a thin hoop (of mass m = 0.28 kg and radius R = 0.13 m) and a…

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Q: As shown, a member is fixed at the origin, point O, and has an applied force F. the tension in the…

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Q: The end state of our Sun will most likely be a white dwarf star. It would have about one fourth of…

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Q: In the figure, two particles, each with mass m = 0.78 kg, are fastened to each other, and to a…

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Q: A circular cone with constant density 1, base radius 6, and height 8 is placed so the axis of…

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Q: In the figure, two particles, each with mass m = 0.84 kg, are fastened to each other, and to a…

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Q: Two uniform, solid spheres (one has a mass M and a radius R and the other has a mass M and a radius…

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Q: A disk of mass M is spinning freely at 9.27 rad/s when a second identical disk, initially not…

A: (a) There is no external torque acting on the system. According to the principle, total angular…