Ex. 49: Calculate the moment of inertia of uniform disc of mass 5 kg and diameter 1 m, about an axis passing through (1) its centre and perpendicular to its plane. (2) a point on its rim and perpendicular to its plane.

Q: The Lunar droplet theory proposed that the Moon was part of a liquid and very hot primordial Earth.…

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Q: A disk 8.08 cm in radius rotates at a constant rate of 1 150 rev/min about its central axis. (a)…

A: (a) 19.167 rev/s. (b) 57.884 cm/s (c) 2968.38 cm/s²  (d) 113.45 cm. Explanation:Let's tackle each…

Q: Ex. 65: Calculate the angular momentum of the earth due to rotation about its own axis. Assume that…

A: We have to find- Angular momentum of earth (L)=? The data given as- Mass of earth (M)=6 x 1024 kg…

Q: A disk of mass M is spinning freely at 8.77 rad/s when a second identical disk, initially not…

A: Law of conservation of momentum: For changing angular momentum, external torque is to be applied.…

Q: A ball is swung in a circle over the Cheshire Cat’s head before vanishing. If the ball has a mass of…

A: mass , m=0.500 kg radius of circle,r=1.00 m angular velocity,ω=10.0 rad/s

Q: In the figure, a 0.400 kg ball is shot directly upward at initial speed 71.5 m/s. What is its…

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Q: Calculate the magnitude of the total angular momentum of the woman–disk system. (Assume that you can…

A: Given Mass of woman = 50 kg Mass of disk = 110 kg Radius of disk = 4.3m We have to calculate angular…

Q: An automobile traveling 56.0 km/h has tires of 60.0 cm diameter. (a) What is the angular speed of…

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Q: Mars has a mass 0.642 x 1024 kg and a radius of 1700. kg. On average, it is 228 x 106 km from the…

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Q: Calculate the magnitude of the total angular momentum of the person-plus-disk system. (Assume that…

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Q: In a double-star system, two stars of mass 4.9 x 1030 kg each rotate about the system's center of…

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Q: A disk 8.04 cm in radius rotates at a constant rate of 1 170 rev/min about its central axis. (a)…

A: Using rotational motion equations,

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: Calculate the angular momentum of the Earth about its own axis, due to its daily rotation. Assume…

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Q: When the Sun runs out of nuclear fuel it will collapse into a white dwarf. The present radius of the…

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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: A wheel 1.00 m in radius is rotating at 100 rad/s. The wheel accelerates uniformly from 100 rad/s to…

A: Given:Initial angular velocity (ω₀) = 100 rad/sFinal angular velocity (ω) = 500 rad/sNumber of…

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: From a circular disc of radius R and mass 9M, a small disc of radius R/3 is removed from the disc.…

A: We can infer that a little disc with a radius of R/3 is removed from a circular disc of radius R and…

Q: Consider the system of particles that are connected by nigid rods of negligible mass. If the system…

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Q: A disk-shaped mass, rotating about a central perpendicular axis, has 1.0 m in diameter and an…

A: The equation of motion for the rotational motion is given by  w = wo+ α tθ = wo t +0.5 α t2w2 = wo2…

Q: Two uniform, solid spheres (one has a mass M1= 0.3 kg and a radius R1= 1.6 m and the other has a…

A: Given : M1=0.3 kg M2=0.6 kg R1=1.6 m R2=3.2 m L=6.4 m ISphere=25MR2

Q: Suppose a piece of dust is stuck to a CD such that it does not slip even when the CD is spinning.…

A: Given:-   A piece of dust is stuck to a CD such that it does not slip even when the CD is spinning.…

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

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Q: A tall telephone pole with massm and length L has just been placed in the ground. Before the wires…

A: Draw the free-body diagram of the telephone pole.

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…

Q: In a double-star system, two stars of mass 2.7 x 1030 kg each rotate about the system's center of…

A: mass of each star (m) = 2.7×1030 kg radius (r) = 1.1×1011 m

Q: (a) Calculate the magnitude of the angular momentum of the earth in a circular orbit around the sun.…

A: Given data M=5.97×1024 kgR=6.38×106 mr=1.5×1011 mT=365 days

Q: Two astronauts, each having a mass M, are connected by a rope of length d having negligible mass.…

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Q: Ex. 6: The moment of inertia of the earth about its axis of rotation is 9.83 x 1037 kg-m² and if its…

A: The problem is based on the concept of rotational kinetic energy. Rotational energy, also known as…

Q: Formula 1 cars have tires with a diameter of 72 cm. For this problem, we will consider the case of…

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Q: A 150-kg merry-go-round in the shape of a uniform, solid, horizontal disk of radius 1.50 m is set in…

A: Write the given values with the suitable variables. m=150kgr=1.5 mω0=0 rad/sω=0.5 rev/s=0.52π…

Q: From a solid sphere of mass M and radius R, a cube of maximum possible volume is cut. Moment of…

A: We can tell when a solid sphere with mass M and radius R is transformed into a cube with the highest…

Q: A physics 70 kg professor stands at the center of a frictionless turntable with arms outstretched…

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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…

Q: A uniform thin rod (ML2) of length 0.6 m and mass 2.5 kg can rotate in a horizontal plane about a…

A: Given: The length of rod is L=0.6 m. The mass of rod is M=2.5 kg. The mass of bullet is m=7.4 g.…

Q: Problem 1: m. M2 A small mass m; rests on but is not attached to a large mass M2 that slides on its…

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