A solid sphere of mass My radius R is released from a ramp that has a height "h" If the sphere rolls without sliding, in terms of g and h determine the velocity of the center of mass of the sphere at the base of the ramp. Justify your process

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Q: With a speed of v(initial), a perfectly rounded mass ball as known as “m” is moving towards the left…

A: Given Data: Small ball mass →m Disc mass →M Disc radius →R ⇒Disc is pivoted about center

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A: Moment of inertia of disk=1/2Mr² We have to find the tension.

Q: Newton’s Second Law of Motion in vector form states thatF = dp/dt , where F is the force acting on…

A: Newton’s Second Law of Motion in vector form states that : F=dPdt  ....(1) where F is the force…

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A: Given variable: radius of disc =  R mass of disc = M descended height = h

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A: The shown two identical meter sticks set up can be considered sum of a rod rotating about its center…

Q: consider this figure very very carefully. lets say that circle is rollin around that whole platform…

A: to solve this problem we are going to use law of conservation of energy

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Q: Consider a wheel initially at rest and rotating at 30 revs/min in 10 seconds, for this process the…

A: Given Initial velocity ωo = 0 rad/s Final velocity ω = 30 revs/min Duration t = 10 s Work done W =…

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Q: The diagram above shows a top view of a child of mass M on a circular platform of mass 2M that is…

A: Its a concept of rotational inertia

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Q: When bicycle and motorcycle riders ‘pop a wheelie’, a large acceleration causes the bike’s front…

A: There is no net angular acceleration, hence the net torque on the system must be zero. Calculate the…

Q: Consider the work done by a spinning skater pulling her arms in to increase her rate of spin.…

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Q: ladder does not collapse by exerting a force FAL at an angle o relative to the horizontal. See the…

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Q: mike of mass m runs with velocity v towards a merry-go-round of mass M and radius R. He jumps on the…

A: GIVEN Mass of Mike = m Velocity of Mike = v Mass of merry go round = M Radius of Merry go round = R…

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A: Given, Mass of the solid cylinder m=1 kg Mass of the square block M=2 kg d=1m angle θ=30°…

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A: A bug flying horizontally at 2 m/s collides and sticks to the end of a uniform stick hanging…

Q: A hollow plastic ball and a solid metal ball all of the same external radius are both released from…

A: Given: Initial velocity of both objects is 0 m/s. Time for which they are falling is 1 min. Let the…

Q: Consider the frictionless marble-curve track system shown. Marble A is 100.0 g while marble B is…

A: The mass of marble A, mA=100.0 g = 100.0 × 10-3 kg The mass of marble B, mB=50.0 g = 50.0×10-3 kg…

Q: A disk of radius R=27 cm released from rest down a ramp. It rolls without slipping and its center of…

A: Given data : The radius of the disc is given as r = 27 cm. The height by which the center of mass…

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Q: A cockroach of mass m lies on the rim of a uniform disk of mass 4m that can rotate freely about its…

A: Mass of a cockroach,

Q: A cockroach of mass m lies on the rim of a uniform disk of mass 4m that can rotate freely about its…

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Q: A uniform rod is at rest on a horizontal surface. A student may launch a sphere of clay toward the…

A: Required : Motion of the rod. The clay in the z direction will have no impact on the rotation of the…

Q: A cockroach of mass m lies on the rim of a uniform disk of mass 4m that can rotate freely about its…

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Q: Two particles are moving uniformly in opposite directions along parallel trajectories. The distance…

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Q: Twin skaters approach one another as shown below and lock hands. (a) Calculate their final angular…

A: Given data The mass of each skater is m=70.0 kg The initial velocity is v=2.50 m/s The location of…

Q: [LO 23.0, 23.1]A 2 kg rock moves clockwise (viewed from above) in a circle radius 3 m around the…

A: Given: The mass of the rock is 2 kg. The speed of the rock is 2 m/s. The distance of the point from…

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A: Given: Three disks are initially placed at the top of an incline and released from rest. They each…

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Q: For two-dimensional rotating bodies, explain, exemplify and illustrate the concept of work.

A: Given : To explain the concept of work for two-dimensional rotating bodies.