A Solid cylinder with a moment of inertia 1/2mr2 and a hoop with moment of inertia mr2 are released from the same inclined plane at 30° to roll down the plane, What is the ratio of acceleration of the hoop to the acceleration of cylinder ? O A. 5/2 О В. 1/2 O C. 3/4 O D. 1/3 O E. None of the above

Q: Two horizontal rods are each held up by vertical strings tied to their ends. Rod 1 has length L and…

A: Given:Length of rod 1 si L,Mass of rod 1 is M Length of rod 2 is 2L and Mass of rod 2 is 2M.

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Q: s at his side, on a

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Q: A clinical blood centrifuge operates at ω= 1200 rpm. a.) What is the angular velocity measured in…

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A: According to Work energy theorem, Change in kinetic energy is equal to work done. W=∆K…

Q: A triatomic molecule is oriented as follows along the x-axis: mass 2m is at the origin, mass m is at…

A: Given data:  Mass 2m at origin Mass m at x = a And mass 3m at x = 2a Required: The moment of inertia…

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Q: Suppose you are whirling the ball at the end of the string with an angular velocity of rad. s Then…

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Q: A freely rotating satellite leaves the cargo bay of the space shuttle. The satellite makes 2…

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Q: The disk of mass m =2 kg and radius r =0.5 m, has a moment of inertia ī =4 kg.m2 about its center of…

A: Given: Mass m=2 kg Radius r=0.5m Inertia I=4kg m2

Q: A 1.6-kg ball of radius 25 cm rolls across level ground at 4.0 m/s without slipping. What is its…

A: mass = 1.6 kg Radius = 25 cm  = 0.25 m Speed = 4 m/s Using relation between linear and angular speed…

Q: 0 R circular hoop of radius 25.0 cm and mass 75.0 g is rotates at 250 rpm about its radial axis as…

A: The radius of the hoop Mass of the hoop Angular Speed

Q: id 0.4550 kg ball rolls without slipping down a track toward a vertical loop of radius ?=0.7150 m.…

A: The mass of the solid is m = 0.4550 kg.  The ball rolls without slipping down a track toward a…

Q: A solid sphere (? = 2/5m?2) is released from rest at the top of a ramp, as shown. The ramp is tilted…

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Q: A long, thin rod (with uniformly distributed mass) rotates about an axis through its center. The rod…

A: The moment of inertia of a rod rotating about an axis passing through its center is given by, I =…

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: A 25.0 kg child sits at the outer edge of a merry-go-round that has mass 200 kg and radius 4.0 m and…

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Q: Equation of the parabola in (Figure 1) is y= (400-2²). dy = 50 mm. Figure < 1 of 1 Part A Determine…

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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: A net external torque of magnitude 64.0 Nm is applied to a disk of mass 10.0 kg. It rotates about…

A: Concept: To Determine the Radius of the Disk, we will use the Formula of the Moment of Inertia of…

Q: An ice skater with moment of inertia, I is rotating with angular speed, W. The skater pulls her arms…

A: Given: The intial moment of inertia of the system is I. The initial angular speed is ω. The final…

Q: Suppose a flywheel originally has an angular velocity of 45.0 rad/s in the counterclockwise sense.…

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Q: A figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65…

A: Given data:  Angular displacement (Δθ) = 2 rev Time (t) = 0.65 s Required: The average angular…

Q: Suppose the rotational kinetic energy of a solid disk is 1000 J when the disk has an angular…

A: The expression for the rotational kinetic energy of the solid disk is as follows: E=12Iω2I=2Eω2…

Q: Determine the moment of inertia ly (in.4) of the shaded area about the y-axis. Given: x = 4 in. y =…

A: Given values: x=4 iny=9 inz=4 inRadius, R=2 inx'=3 in

Q: A figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65…

A: Given: figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in…

Q: A ship's wheel can be approximated as an annular cylinder (different from a ring) of mass 6.7…

A: We are given mass of wheel and inner and outer radius. We first find moment of inertia of the wheel.…