Make a rough estimate of the moment of inertia I of a new pencil that is spun about its center by a nervous student during an exam. I=   g⋅cm2

Q: Yo-yo has a mass m, an inner radius r and an outer radius R. The rotational inertia of the yo-yo is…

A: Torque produced is the product of Rotational inertia and angular acceleration torque=Iα Torque is…

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: A torque of magnitude 50Nm acts for 10 seconds to start a small merry-go-round (I = 1/2*m*r^2 ) of…

A: Given data:  Torque (τ) = 50 Nm Time (t) = 10 seconds Moment of inertia (I) = (1/2)mr2 Radius (r) =…

Q: Two bodies of mass A = 8.5 kg and B = 94 kg are attached to the ends of a 3 m long weightless rod.…

A: We have given-masses-mA=8.5kgand mB=94kglength l=3mdistances of mass A nad B from the midpoint…

Q: Determine the mass moment of inertia of a Pyrex glass shaft that is 5 ft long and has a diameter of…

A: Lenght of the shaft, diameter of the shaft, density of the pyrex glass,  radius of the shaft, Now,…

Q: 1. A thin rod of mass 2 kg and length 40 cm is attached to a uniform disk (at point A on the edge of…

A: Moment of inertia of a rod=1/12ML² Moment of inertia of disk=1/2MR²

Q: The dung beetle is known as one of the strongest animals for its size, often forming balls of dung…

A: Radius (r) = 2.05 cm = 0.0205 m Speed (v) = 6.05 cm/s = 0.0605 m/s

Q: The moment of inertia for a rod rotating about its end is ML² The moment of inertia for a solid…

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Q: Three point objects with masses m1 = 4.0 kg, m2 = 2.9 kg, and m3 = 2.8 kg are arranged in the…

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Q: A circular disk has a radius R and mass M. A hole with a diameter R is drilled on it as shown in the…

A: Given that: The inertia of disk is Idisk=12MR2.

Q: A rod of mass M has a weight of mass m fixed between points A and B, as shown in the diagram. Where…

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Q: A circular disk has a radius R and mass M. A hole with a diameter R is drilled on it as shown in the…

A: Hints    Moment of inertia of disk is MR²/2. and you need to use parallel axis theorem

Q: The bowling ball has mass 6 kg, diameter 24 cm. The moment of inertia of a solid sphere around its…

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Q: Question 1. Calculate theoretical values for the moment ofinertia of the discs. Consider the rolling…

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Q: body shown, the identical thin disks. mass per unit are of 20 kg/m2. Det ular to the page and…

A: Given: m=2 Kg Mass is 20 Kg/m2

Q: The triceps muscle in the back of the upper arm is primarily used to extend the forearm. Suppose…

A: Given data:  Force (F) = 2.1 × 103 N Effective perpendicular lever arm (r) = 2.95 cm = 0.0295 m…

Q: Determine the mass moment of inertia of a Pyrex glass shaft that is 5 ft long and has a diameter of…

A: Length of Pyrex glass shaft L=5 ft Diameter of shaft d=623 in=203 in

Q: An ice skater is spinning at a rate of 2 rad/sec.  She extends her arms and increases her moment of…

A: Initial and final moment of inertia= 1.22 & 2.5 Kgm2

Q: An ice dancer with her arms stretched out starts into a spin with an angular velocity of 2.6 rad/s.…

A: here we can use conservation of angular momentumI1=2.77 kg m2I2=1.62 kg m2ω1=2.6 rad/sω2=?by angular…

Q: Multiple-Concept Example 10 reviews the approach and some of the concepts that are pertinent to this…

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Q: A 14-cm diameter CD has a mass of 22 g . What is the CD's moment of inertia for rotation about…

A: Given data:  Diameter (D) = 14 cm Mass (m) = 22 g = 0.022 kg Required: Moment of inertia for…

Q: A skater is spinning with an initial angular velocity of 6 rad/s with her arms stretched out. When…

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Q: Multiple-Concept Example 10 reviews the approach and some of the concepts that are pertinent to this…

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Q: An ice skater spins with arms outstretched at 1.9 rev/s. Her moment of inertia at this time is 1.33…

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Q: Caleb is driving a golf ball off the tee. His downswing takes 0.46 s from the top of the swing until…

A: Using the Rational Analog of Newton's Second Law of MotionGiven Data:

Q: A skater performs a turn with arms wide open, rotating with an angular velocity ωi = 2.75 rad / s.…

A: Given,Intial angular velocity of the skater, ωi = 2.75 rad/swhen skater close his arms, his moment…

Q: A student holds a bike wheel and starts it spinning with an initial angular speed of 9.0 rotations…

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Q: A 35kg wheel is off-center, with its axle 3.4cm away from its actual center of mass, and it has a…

A: Given data: The work done is W=84 J. The final speed of wheel is ω=11.3 rad/s.

Q: Disk 1 Disk 2

A: use the conservation f angular momentum  we have to solve the question

Q: An object that is initially at rest undergoes an angular acceleration of 1.62 rad/s2. What is the…

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Q: A figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65…

A: Given data:  Angular displacement (Δθ) = 2 rev Time (t) = 0.65 s Required: The average angular…

Q: Asha needs the plate's moment of inertia ?I with respect to given rotation axis. Calculate ?I .

A: we can apply parallel axis theorem  Iaxis=ICM+Mr2

Q: A Ferris wheel has a radius of r= 15 m and makes one complete rotation every T = 43 s. There is a…

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Q: You are happily spinning in your desk chair when at 3.50 rad/s. You lift your legs up and notice…

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Q: A flywheel with moment of inertia l = 10 kg. m² starting from rest acquires an angular velocity of…

A: Given Data : The moment of inertia of the flywheel is given as I = 10kg.m2. The final angular…

Q: Please refer to the picture to help answer the questions. A ice skater goes into a spin standing…

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Q: A disk has a moment of inertia of 2.50 x 10°2 kg-m² and spins on a frictionless axis through its…

A: Here we use the conservation of Angular Momentum Idisk=2.5x10-2kg-m2 Initial Angular…

Q: A string is wrapped around a thin-walled cylinder pulley of radius 11.9 cm and mass of 13 kg. If the…

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Q: playground merry-go-round of radius R=2.00m has a moment of inertia? = 250??. ?2 and is rotating at…

A: The objective of this question is to find the new angular speed of the merry-go-round after a child…

Q: The three 160 g masses in (Figure 1) are connected by massless, rigid rods. a) What is the…

A: each mass (m) = 160 g m = 0.16 kg mass of rods = negligible length of each rod (L) = 40 cm L = 0.4 m…

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: What is the final angular velocity in unit of rad/sec of a solid sphere with radius of 9.78 meters…

A: The given data are: R=9.78 mh=66.37 mg=9.8 m/s2ωi=0 Here, ωi is the initial angular speed.

Q: What is the moment of inertia of a 1.0-m long stick with mass of 2.0kg if it is rotated along the…

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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.