Problem 9: The rotational inertia of a collapsing spinning star drops from an initial value Ii= 9 x 1099 kg m2 to a value of If = 3 x 1099 kg m2. (a) Ratio of final rotational kinetic energy (KEf) to the initial rotational KEi is ________ (b) What would that ratio be if If/Ii=1/4? ________

Q: 12 13 14

A: 12. Moment of Inertia of the hollow sphere,

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Q: A 1.90 kg solid, uniform disk of radius 0.180 m is released from rest at point A in the figure…

A: a) The required transnational speed at point B is,

Q: For a rigid body in equilibrium, identify the true statements about the action of a system of…

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Q: A uniform solid disk of mass m = 2.91 kg and radius r = 0.200 m rotates about a fixed axis…

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Q: A bowling ball that has a radius of 11.0 cm and a mass of 6.00 kg rolls without slipping on a level…

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Q: A 340kg hoop with a radius of 3.21m rolls along a horizontal floor so that the hoops center of mass…

A: As per our guidelines, we are supposed to answer only first three subparts in case of multiple…

Q: Two uniform solid cylinders, each rotating about its central (longitudinal) axis, have the same mass…

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Q: A mass of 0.6 kg is located at the end of a very light and rigid rod 50 cm in length. The rod is…

A: (a) The rotational inertia of the system is, I=mr2 The distance of the rotating object from the axis…

Q: The uniform solid block in the figure has mass 23.7 kg and edge lengths a=0.826 m, b = 1.37 m, and…

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Q: A 1.70 m B T0.450 m oint B, find the spherical shell's translational speed vg (in m/s). m/s oint B,…

A: Given:- The mass of the spherical shell m = 1.90 kg  The radius of the spherical shell r = 0.140 m…

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A: Given Mass of bar M= 7.5 kg Length l = 2.2 m Mass of balls m= 0.3 kg

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Q: Show that the rotational inertia of a rectangular plate of sides a and b about an axis perpendicular…

A: The perpandicular axis thorem to calculate the moment of inertia is

Q: Bar BC of the linkage slides in the collar D. If bar AB is rotating clockwise with the constant…

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Q: A sphere of radius 3.34 cm and a spherical shell of radius 8.72 cm are rolling without slipping…

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Q: Which of the following statement is False? An object is said to be in equilibrium if and only if…

A: Introduction :- Here we need to check which case does not hold true. So we will check all the given…

Q: By angular momentum conservation principle, if the rotational inertia was doubled then the angular…

A: The initial rotational inertia is given as, I=Lω Here, L and ω represent the angular momentum and…

Q: Given the vectors S=3i + 2j and T= -2i + 2j; using the rotational product, find the angle

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Q: A rigid body is undergoing planar motion with the velocity of its center of mass vc = 2 m/s i + 5…

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Q: A centrifuge has a rotational inertia of 5.50 × 10−3 kg m2. How much energy must be supplied to…

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Q: The uniform solid block in the figure has mass 33.9 kg and edge lengths a = 0.618 m, b = 1.79 m, and…

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Q: When the sum of the external forces and the sum of the external torques on a body are both zero, we…

A: Given :   The sum of the external forces and the sum of the external torques on a body are both…

Q: A hollow sphere of radius 0.210 m, with rotational inertia /= 0.0293 kg-m2 about a line through its…

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Q: Two masses M, = 2 kg and M, = 4 kg are attached by a rigid rod of negligible mass (ags s i). The rod…

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Q: What must be the radius (in cm) of a disk of mass 17 kg, so that it has the same rotational inertia…

A: Given data: Mass of disk, md=17 kg Mass of sphere, ms=4 g =4×10-3 kg Radius of sphere, rs=3 m Our…

Q: Part 12-16

A: (12)The moment of inertia of the hollow sphere is,Substitute the values,

Q: The uniform solid block in the figure has mass 27.7 kg and edge lengths a = 0.846 m, b = 1.57 m, and…

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Q: A frisbee is moving through the air with a constant angular velocity of 10 cycles/s and a constant…

A: Given that,  The angular velocity and translation velocity are constant. The angular velocity is…

Q: A hollow sphere of radius 0.120 m, with rotational inertia I = 0.0125 kg-m² about a line through its…

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Q: The uniform solid block in the figure has mass 47.6 kg and edge lengths a = 0.782 m, b = 1.61 m, and…

A: By perpendicular axis theorem , moment of inertia of block about an axis perpendicular to plane and…

Q: Figure 10.4 F. 30 0,USM In Figure 10.4, a solid cylinder of 5 cms radius is positioned on a…

A: There will act a force on the cylinder in the rightward direction along the plane.

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Q: The uniform solid block in the figure has mass 25.9 kg and edge lengths a - 0.763 m, b-1.40 m, and…

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Q: A uniform rectangular flat plate has mass M and dimensions a by b. Use the parallel-axis theorem in…

A: Given : A uniform rectangular plate of mass M. Dimensions are a by b. We have to show that its…

Q: In a manufacturing process, a large, cylindrical roller is used to flatten material fed beneath it.…

A: The relation between the angular displacement and time is given by θ=2.90t2-.900t3 Total angular…

Q: A sphere of mass 5.0 kg rolls without slipping on a floor. Suppose its center of mass is moving at…

A: Ans:- Image-1

Q: A uniform solid sphere of mass 12.0 kg and radius 7.0 cm rotates at 300 revolutions per minute (rpm)…

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Q: The uniform solid block in the figure has mass 40.4 kg and edge lengths a = 0.506 m, b = 1.35 m, and…

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Q: A figure skater with rotational inertia Iskater is spinning with angular speed ω. She pulls her arms…

A: SOlution: Given that Initial angular velocityω = ωon pulling her armI' = I3

Q: A 1190 kg car has four 16 kg wheels. When the car is moving, what fraction (K rotational /K total)…

A: Answer:  2.62

Q: A uniform solid disk of mass m = 3.08 kg and radiusr= 0.200 m rotates about a fixed axis…

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Q: Two wheels A and B in the figure are connected by a belt that does not slip. The radius of B is 4.30…

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Q: Which of the following increases the rotational inertia of a solid diet about its axis, without…

A: We want to increase the rotational inertia (moment of inertia ) of a solid diet about it's axis,…

Q: A top spins at 30 rev/s about an axis that makes an angle of 30 with the vertical.The mass of the…

A: The angular speed of the top is The equation for the precession rate of the top can be given as

Q: QUESTION 14 For a solid uniform disk of mass M and radius R that is rolling without slipping, which…

A: Option A is the right answer  It's translational kinetic energy is larger