A ball with a weight of 70 N hangs from a string that is coiled around a 3 kg pulley with a radius of 0.4 m. Both the ball and the pulley are initially at rest. The rotational inertia of the pulley is 0.5mr2 and the ball is released from rest. Calculate the ball's velocity after it falls a distance of 2 meters.

Q: A 1.7 kg solid sphere (radius = 0.20 mm ) is released from rest at the top of a ramp and allowed to…

A: When the sphere is at the top of the ramp and it is at rest, its kinetic energy is zero. Thus, the…

Q: 8.1 What is the wheel's initial translational kinetic energy? 8.2 What is the wheel's initial…

A: Please post the remaining questions separately!

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Q: what is the angular speed when she is 0.554 m from the center?

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Q: A turntable with a moment of inertia of 1260 kg m^2 and a radius of 2.5 m rotates frictionlessly…

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Q: 6. A 30-kg child stands on the edge of a stationary merry-go-round of mass m= 100 kg, and radius of…

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Q: A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a…

A: Given: radius of circular disk R = 3.30 mrotational inertia Io =165 kg.m2mass of student m = 77.6…

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A: Given The platform have a radius of 2.38 m and a rotational inertia of 463 kg·m2 A 58.2 kg student…

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Q: An ice skater spinning with outstretched arms has an angular speed of 4.0 rad/s . She tucks in her…

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A: Write the expression for the energy supplied to the centrifuge. Here, I represents the rotational…

Q: A skater is initially spinning at a rate of 10.0 rad/s with a rotational inertia of 2.90 kg·m2 when…

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Q: The assembly shown in the figure below consists of a thin rod of length { = 22.2 cm and mass m =…

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Q: A 12N.m torque is applied to a flywheel that rotates about a fixed axis and has a moment of inertia…

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Q: A person with a rotational inertia of 4.72 kg·m2 about a vertical axis jumps onto a platform…

A: Given :    Rotational inertia of person, I = 4.72 kg m2    Spinning rate, ω =  43.1 rad/s…

Q: A merry-go-round rotates at the rate of 0.17 rev/s with an 90 kg man standing at a point 2.9 m from…

A: Given: initial angular speed  wi = 0.17 rev/smass of man   m = 90kginitial distance from center axis…

Q: While punting a football, a kicker rotates his leg about the hip joint. The moment of inertia of the…

A: Given data: Moment of inertia (I) = 3.49 kg.m2 Rotational kinetic energy (KER) = 167 J Distance of…

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Q: 0.5 m 2N A disk with radius of 0.5 m is free to rotate around its center without friction. A string…

A: A force 2N will produce torque which is equals to Iα where I is rotational inertia and α is angular…

Q: Consider a wheel (solid disk) of radius 0.992 m, mass 19 kg and moment of inertia 1/2 M R2. The…

A: The moment of inertia of the wheel is, I=12MR2=1219 kg0.992 m2=9.349 kgm2 The angular speed of a…

Q: A mass 0.4 kg hangs from the rim of a wheel of radius r = 15 cm as shown in Figure 1. When released…

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Q: 9. A solid ball of mass M, radius R (moment of inertia = (2/5) MR²) starts from rest at a height of…

A: In rolling down on a inclined plan, The potential energy  Mgh is converted in to linear and…

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A: Diameter = 75cm Radius (r)= 37.5cm= 0.375m Tangential velocity = 19.5- 0.263t

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A: Given: The mass (m) of the ball is 5 Kg. The radius (r) of the ball is 0.4 m. The linear velocity…

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A: Given values: front wheel's mass m = 2.83 kg initial angular velocity = 16.5 rad/s final angular…

Q: An ice skater spins at 18.5 rad/s with her arms extended. If her moment of inertia with arms folded…

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Q: A bowling ball of mass MMM and radius r0r0r_0 is thrown along a level surface so that initially (ttt…

A: given: Mass = M. Radius = r0 , let it be R.  initial liner speed = v0

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Q: A system consists of a disk of mass 2.0 kg and radius 50 cm upon which is mounted an annular…

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Q: An ice skater spins at 13.2 rad/s with her arms extended. If her moment of inertia with arms folded…

A: Given : Angular velocity of the ice skater when arms extended, ω1 = 13.2 rad/s Moment of inertia…

Q: An ice skater, whose rotational inertia is I = 4 kg·m2 with her arms close to her body, is spinning…

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Q: A hollow sphere (M = 3.0kg and R = 60cm) is rolling down an inclined surface with a height of 2.0…

A: Given mass of hollow sphere M=3.0 kgRadius of sphere R=60 cm                           R=0.06…

Q: A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a…

A: According to the conservation of angular momentum,

Q: An ice dancer with her arms stretched out starts into a spin with an angular velocity of 2.9 rad/s.…

A: Given data: Initial angular velocity, ωi=2.9 rad/s Initial moment of inertia, Ii=2.84 kg.m2 Final…

Q: A hollow spherical shell of radius R that is rotating about an axis through its center has…

A: Expression for kinetic energy -  EK=12Iω2 Where,  I=Moment of inertia of hollow sphericalI=23MR2ω2…

Q: The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk…

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Q: A Texas cockroach of mass 0.17 kg runs counterclockwise around the rim of a lazy Susan (a circular…

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Q: A skater is initially spinning at a rate of 25.0 rad/s with a rotational inertia of 3.00 kg·m2 when…

A: Given data The initial angular velocity of the skater is given as ωi=25 rad/s. The initial moment…

Q: The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk…

A: