Find the Principal Moment of Inertia and the Principal axis of inertia of a uniform solid hemisphere about a point on its rim.

Q: the acceleration (magnitude and direction) of its center of mass and

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Q: find the moment of inertia of a quarter of a hollow disk (shaded part of the figure), of inner…

A: Given: The inner radius of the hollow disk is a. The outer radius of the disk is b. The surface…

Q: A uniform flat disk of radius R and mass 2M is pivoted at point P. A point mass of 1/2 M is attached…

A: Formula used:Moment of inertia;I = (1/2)mr2The parallel axis theorem:I = Ic +md2WHERE:Ic = moment of…

Q: Four particles of masses 0.2 kg, kg and 0.5 kg are kept at the corners ABCD of square with side 1…

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Q: A solid cube of side c = 80 mm is attached as shown to cord AB. It is observed to spin at the rate…

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Q: A uniform rod of mass M and length L is initially horizontal, with its left end resting on the edge…

A: (a) torque(b) angular acceleration(c) vertical acceleration

Q: The uniform thin rod in the figure below has mass M- 4.00 kg and length L 2.37 m and is free to…

A: Solution: Given that mass M = 4 kg length L = 2.37 m

Q: The circular disc of mass 20 kg and radius 0.1 m is set into rotation about an axis passing through…

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Q: A flywheel with a radius of 0.240 m starts from rest and accelerates with a constant angular…

A: A flywheel with a radius of r=0.240 m  Angular acceleration= 0.780 rad/s2

Q: A wheel starts from rest and reaches a rotational speed of 100 rev/min within 30 rev. Assuming a…

A: Angular acceleration is defined as the rate of change of angular velocity and is given by α = ΔωΔt…

Q: What is the magnitude of the tangential acceleration of a bug on the rim of an 11.5-in.-diameter…

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Q: The Earth’s mass is approximately 5.98 × 1024 kg, and it orbits the Sun at a distance of 1.50 × 1011…

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Q: Please consider a solid sphere of radius 10 cm rolling without slipping in a hemispherical bowl of…

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Q: The shown body is combined from Ring (with mass=3.6 kg), Rod (with mass=2.9 kg) and Disk (with…

A: Given: The mass of the ring is 3.6 kg. The mass of the disk is 3.8 kg. The mass of the rod is 2.9…

Q: At a given instant, a particle in a rotating system a distance of 4.8 m from the axis of rotation…

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Q: A ring of mass 0.2 kg is placed at the top of an inclined plane with angle 0 = 30°. The ring has…

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Q: The circular disc of mass 20 kg and radius 0.1 m is set into rotation about an axis passing through…

A: To find- Angular velocity of disc at the end of 3 seconds from start (ω2)=? Given-ω1=0t=3 secτ=10…

Q: Calculate the rotational inertia of a long, thin rod of length L and mass M about one end. Assume…

A: Rotational inertia about on end of the rod I=∫0Lx2dm=∫0Lx2λdx=∫0Lx2λ01+xLdx

Q: (0) Find the rotational kinetic energy (in 3) of a large moon with a rotational period of 23.3 h.…

A: Given,The rotational time period, The mass of the moon, The radius of the moon, The angular…

Q: A supergiant star collapses during a supernova blowing off 80.080.0% of it's mass. Angular momentum…

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Q: uniform cylindrical turntable of radius 1.80 m and mass 30.4 kg rotates counterclockwise in a…

A: Use conservation of angular momentum.

Q: A 7.5-kg uniform cylindrical roller (radius 0.50 m), initially at rest, is acted upon by a 25N…

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Q: (a) By modelling the ballerina with her arms and legs tucked in as a uniform cylinder of mass 60kg…

A: Given ballerina spinning with angular speed When arms and legs are outstretched ωο=6π rads/s When…

Q: A person of mass 70 kg stands at the center of a rotating merry-go-round platform of radius 3.1 m…

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Q: A 7.5-kg uniform cylindrical roller (radius 0.50 m), initially at rest, is acted upon by a 25N…

A: Mass of cylinder m=7.5 kg, radius of cylinder r=0.5 m, horizontal force applied on the center F=25 N…

Q: The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius…

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Q: Answer "TRUE" or "FALSE" in each question and explanati For a horizontal disk rotating about its…

A: For a horizontal disk rotating about its axis, every point on the disk :

Q: A merry-go-round starts from rest and accelerates uniformly over 19.5 s to a final angular velocity…

A: Linear velocity =    -------------(1)v = linear velocityr = radius = angular velocityTo calculate…

Q: A uniform solid sphere of mass M and radius R is released from rest at the top of an 8.0-m-high…

A: The energy possessed by an object when it is moving with a velocity v is known as the kinetic energy…

Q: The minute hand on a watch is 6 cm long. If after 12:30 the tip of the minute hand has traveled a…

A: Option -A

Q: A wheel is rotating about an axis perpendicular to the plane of the wheel and passing through the…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius…

A: Given data: The radius of hoop is rh=0.209 m. The mass of hoop is m=5.08 kg. The mass of each rod is…

Q: A flywheel with a radius of 0.20m starts from rest and accelerates with a constant angular…

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Q: A merry-go-round (carousel) starts from rest and accelerates with a constant angular acceleration of…

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Q: A solid cylinder of mass 2 kg and radius 8 cm is mounted with its axis horizontal. A thread is wound…

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Q: The baton consists of a metal ball of mass .45 kg and diameter .15m at each end of a slim rod. The…

A: Metal ball of mass 0.45kg , diameter 0.15m  Length of the rod is 0.7m