A 25.0-kg child standing nearby gets onto the merry-go-round by grabbing its outer edge. What is now the moment of inertia of the system?

Q: What is the moment of inertia of a 1-kg solid sphere with a radius of 3 meters?

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Q: Julie, 40 kg, is standing on the edge of a merry-go-round at rest which has a moment of inertia of…

A: The mass of Julie is m = 40 kg. The moment of inertia is I = 800 kg m2. The radius of merry go round…

Q: A ventilation fan with a moment of inertia of 8.2 kg-m2 has a net torque of 4.1 N-m applied to it.…

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Q: Find the moment of inertia of a thin spherical shell with a mass of 0.15 kg and a radius of 0.5 m.

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Q: Someone is standing on a frictionless platform that is rotating at 2.1 revolutions per second.  In…

A: If   I = moment of Inertia and w = Angular speed , then Kinetic Energy ( KE ) is given by KE=12Iw2…

Q: Figure skater rotating at 5rad/s with arms extended, moment of inertia is 2.25 kg * m^2. The skater…

A: The formula for the angular momentum is:

Q: What is the moment of inertia of the mass-system in the figure below? The mass of each ball is m =…

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Q: A ventilation fan with a moment of inertia of 9.4 kg-m2 has a net torque of 7.1 N-m applied to it.…

A: Given data The moment of inertia is given as I = 9.4 kgm2. The net torque is given as T = 7.1 Nm.…

Q: A student sits on a rotating stool holding two 3.3-kg objects. When his arms are extended…

A: mass of object = 3.3 kg d1 = 1 m ω1 = 0.75 rad/secmoment of inertia of student plus stool (I) = 3…

Q: A ventilation fan with a moment of inertia of 4.1 kg-m2 has a net torque of 8.7 N-m applied to it.…

A: Given data: Moment of inertia (I) = 4.1 kg.m2 Net torque (τ) = 8.7 N-m Time (t) = 2.7 s Required:…

Q: A student sits on a rotating stool holding two 3.9-kg objects. When his arms are extended…

A: Given: The mass of each object is 3.9 kg. The initial distance of the object from the center of the…

Q: A professor's office door is 0.97 m wide, 2.1 m high, 4.2 cm thick; has a mass of 25 kg , and pivots…

A: Given Data : The width of the office door is , w = 0.97 m The height of the office door is , h =…

Q: Find the moment of inertia of a solid, uniform sphere (like a billiard ball or ball bearing) about…

A: We need to find the moment of inertia of a solid sphere about an axis passing through its center

Q: 7. A 500 gram meter stick has a center of mass at the 50 cm mark. Using two fingers, one at the 20…

A: 7) Given the mass of the stick is m = 500 g = 0.5 kg center of mass of the stick is at x = 50 cm and…

Q: A ventilation fan with a moment of inertia of 4.6 kg-m2 has a net torque of 8.6 N-m applied to it.…

A: Calculate the angular acceleration of the fan. α=τI=8.6 N·m×1 kg·m/s21 N4.6 kg·m2=1.87 rad/s2 Here,…

Q: Eitri is commisioned to complete an amazing new project for Bill, attaching a 45-kg axe head to the…

A: Required ; Rank of the moment of inertia.

Q: A student sits on a rotating stool holding two 28-kg objects. When his arms are extended…

A:

Q: A professor's office door is 0.93 m wide, 2.2 m high, 4.0 cm thick; has a mass of 25 kg , and pivots…

A: The formula for the moment of inertia of the door about height is:

Q: An ice skater rotates at 2.3 rev/s with arms outstretched. He collects his arms and spins at 15.6…

A: Moment of inertia, in physics, quantitative measure of the rotational inertia of a body—i.e., the…

Q: Two spheres of masses 1.5 kg and 4.9 kg are connected by a rigid mass-less rod of length 1.2 cm look…

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Q: A phonograph turntable has a moment of inertia of 2.5 10-2 kg-m2 and spins freely on a frictionless…

A: Given : Moment of Inertia of the turn table, I = 2.5x10-2 kg-m2 Initial angular velocity, ωi = 33.3…

Q: Four objects are held in position at the corners of a rectangle by light rods as shown in the figure…

A: (a)   The moment of inertia of the system about the x-axis can be determined as follows.…

Q: A 4.0kg mass is places at (3.0, 4.0)m and a 3kg mass is places at (3.0, -4.0)m. What is the moment…

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Q: What is the moment of inertia of the mass-system in the figure below? The mass of each ball is m =…

A: Given: The mass of each object is 2 kg. The length a = 1 m.

Q: A student sits on a freely rotating stool holding two dumbbells, each of mass 3.10 kg (see figure…

A: When the boy rotates the angular momentum of the syster remains constant. I*w = constant. So  I2/I1…

Q: A uniform disk of mass Mand radius a, with its surface in the yz- plane as shown in the Figure. The…

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Q: A figure skater can increase her angular velocity from a speed of 2.00 revolutions in 3.00 seconds…

A: Initial speed = 2 revolutions per sec final speed = 5 revolutions per sec T = 2 sec Moment of…

Q: A playground toy has four seats, each 5.0 kg, attached to very light, 1.5 m long rods, as seen from…

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Q: A physics teacher on a spinning chair has a moment of inertia of 5.5 kg m^2 with his arms…

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Q: A 4 kg solid sphere has 0.5 m radius. It's moment of inertia is kg.m^2 O a. 0.3 O b. 0.25 O c. 0.2 O…

A: Write the expression for the moment of inertia of solid sphere. Here, m represents the mass and r…

Q: Two identical masses (m1 = m2 = 10 kg) are connected to massless rod of length L = 2.6 m as shown.…

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Q: A block of mass m = 2.90 kg is hanging from a massless cord that is wrapped around a pulley (mass =…

A:

Q: Two blocks, m₁ = 1.0 kg and m₂ = 2.0 kg, are connected by a light string as shown in the figure. If…

A: Let the tension in the rope attached to block m1 be T1 and that in the rope attached to block m2 be…

Q: A solid wooden door has a mass of 40 kilograms, a height of 2.3 meters, and a width of 1.0 meters.…

A: Given, Mass of door, m= 40 kg, height, L=2.3 m, and width, b=1 m.

Q: A ventilation fan with a moment of inertia of 4.9 kg-m2 has a net torque of 4.1 N-m applied to it.…

A:

Q: A small pine tree has a mass of 19 kg. Its center of mass is located at 0.87 m from the ground. Its…

A:

Q: A student sits on a rotating stool holding two 2.9-kg objects. When his arms are extended…

A: (a) The initial moment of inertia of the system is, Ii=2mr2+Istudent=22.91.02+3.0=8.8 kg·m2 The…

Q: Suppose manufacturers increased the size of compact discs so they were made of the same material and…

A: Write a given values of this question. D1=2D2R1=2R2M1=M2

Q: In the figure below, what is the moment of inertia of the system? L/2 L/2 3M 2M M O (ML^2)/2. O…

A:

Q: Two small objects of mass 5.0 kg and 7.0 kg are mounted 5.0 m apart on a light rod (ne gligible…

A: Given, Masses = 5.0 kg , 7.0 kg Separation between 2 masses = 5.0 m

Q: An ice skater with a moment of inertia of 15 kg m2 spinning at 11 rad/s extends her arms, thereby…

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Q: You're feeling particularly lazy and decide to open a door by firing a bullet at it. The door has a…

A: Here, the initial angular momentum of the system about the hinge is equal to the initial angular…

Q: Three point objects with masses ?1=2.6 kg, ?2=4.0 kg,and ?3=0.90 kg are arranged in the…

A: Moment of inertia of point masses is given by :I=∑miri2 =m1r12+m2r22+....

Q: Three point objects with masses ?1=2.1 kg, ?2=2.9 kg, and ?3=1.7 kg are arranged in the…

A:

Q: An ice skater starts a spin with her arms stretched out to the sides. She balances on the tip of one…

A: Let us suppose an ice skater starts a spin with her arms stretched out to the sides. She balances on…

Q: A massless frame in the shape of a coff square 6.5 m on a side has a 17.6-kg ball at each corner.…

A:

Q: A 3.8-mm-diameter merry-go-round is rotating freely with an angular velocity of 0.80 rad/s. Its…

A: given, mass of people = 61 kg number of people =4 diameter of the  merry-go-round = 3.8 mm radius =…

Q: Suppose a figure skater has gone into a spin with her arms extended, and she pulls them inward while…

A: It is given that, I'=I2.2

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.