Q. 16: A sphere of mass 0,5 kg and diameter 1 m rolls without sliding with a constant velocity of 5 m/s. What is the ratio of the rotational K.E. to the total kinetic energy of the sphere ? (b) 7 (a) 10 7 (d) (c) 517 NIN
Q: A disk with a mass of "m" kg and radius of "r" meters (l =1/2mr^2) rolls without slipping at "v"…
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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: A 70kg disk is spinning about a vertical axis of rotation with a radius of 1.2m and a rotational…
A: angular momentum of the disc before collision,L1d=Idω1dL1d=0.45mr2×10L1d=4.5mr2..........(1)angular…
Q: A solid 0.4150 kg0.4150 kg ball rolls without slipping down a track toward a vertical loop of radius…
A: Given values: Mass of the ball, m = 0.415 kgRadius of the loop, R = 0.8750 mLet the speed at the top…
Q: Flywheels are large, massive wheels used to store energy. They can be spun up slowly, then the…
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Q: A lawn mower has a flat, rod -shaped steel blade that rotates about its center. The mass of the…
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Q: A 2 kg ball with a radius of 0.35 meters is initially at rest. The rotational inertia equation for…
A: We know that Torque= Ta=Fr
Q: A 25-kg piece of steel pipe that is 20 cm in diameter, 80 cm long, is rolling toward you at a speed…
A: The diameter of the pipe d=20 cm The radius of the pipe r=d2=10cm=0.10 m The velocity of the pipe…
Q: A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its…
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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: L? Q. 18 : LI represents (a) rotational kinetic energy of particle (b) potential energy of a article…
A: To find-L2LI=interpretationGiven-L22IHere, L=angular momentum I=Moment of inertia
Q: A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its…
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Q: The disk of mass m =2 kg and radius r =0.5 m, has a moment of inertia ī =4 kg.m2 about its center of…
A: Given: Mass m=2 kg Radius r=0.5m Inertia I=4kg m2
Q: A disk of mass M and radius R rotates with an angular speed w about an axis through its center, an…
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Q: 5. In Section 10.4 (Rotational Kinetic Energy) of the OpenStax College Physics textbook, go to…
A: Part (5): Given:The mass of the helicopter is Y = 46.83 kg. The anguar speed is Z = 294.83 rpm. The…
Q: A bus contains a 1420 kg flywheel (a disk that has a 0.64 m radius) and has a total mass of 10600…
A: The rotational kinetic energy of the flywheel can be expressed as: K_rot = (1/2) * I * w^2 where,I…
Q: A solid disk of mass 9.3 kg and radius 0.23m is rotating with angular speed 32 rad/s. A thin…
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Q: The following figure shows the cross section of a cylinder of radius 8.8 m rotating about its axis…
A: Given, Radius of cylinder r= 8.8m Angular velocity w= 4 rad/s We have, Velocity at a point V =…
Q: Figure (a) shows a disk that can rotate about an axis at a radial distance h from the center of the…
A: As per the graph, Rotational inertia at h = 0, IA = 0.250 Kg m2 Here, h = 0 shows that IA is moment…
Q: The angular speed of a rotating disk is given by the equation: 0 = (2radls) + (3rad/s2) What is the…
A: Given data: Angular velocity as function of time ω = (2rad/s) + (3rad/s2)t Required: Angular…
Q: The angular speed of a rotating disk is given by the equation: @ = (2rad/s) + (3rad/s?)t What is the…
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Q: A 4 kg ball with a 0.5 m radius rolls at a constant 4 rad/s. The rotational inertia of the ball is…
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Q: 5. A 2.5kg sphere with a radius of 35cm rotates on an axis through its center. A point on the edge…
A: Given: Mass of sphere is m=2.5kg Radius of sphere is r=35cm=0.35m tangential speed is v=10m/s
Q: A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its…
A: Given, Energy produced by car, KE = 3.38×10^9 Radius of flywheel, 'r' = 0.517 m Mass of flywheel,…
Q: 29.) Similar to linear kinetic energy, rotational kinetic energy depends on the moment of inertia I…
A: The rotational KE is given by K=12Iω2 If I'=21Iω'=0.2ω Then the new KE becomes…
Q: Rotational kinetic energy: A uniform solid sphere of mass M and radius R rotates with an angular…
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Q: Two uniform solid cylinders, each rotating about its central (longitudinal) axis, have the same mass…
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Q: A 1.3-kg 20-cm-diameter solid sphere is rotating about its diameter at 62 rev/min. (a) What is its…
A: Given: The mass of the solid sphere is 1.3 kg. The diameter is 20 cm. The…
Q: 11.8 kg solid sphere (radius = .450 m) is released from rest at the top of a ramp and allowed to…
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Q: Rigid rods of negligible mass lying along the y axis connect three particles.: m1=4kg at (0,3)m,…
A: 310.96 J
Q: A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its…
A: The energy produced by the car, The radius of the flywheel, Mass of flywheel,
Q: The ramp on the figure is 0.75 m high. The object is a 2.0 kg cylinder with radius of r = 0.10 m.…
A: Height of the ramp is H = 0.75 m Mass of the cylinder is m = 2.0 kg Radius of the cylinder is r =…
Q: A 0.22kg solid cylinder is released from rest at the top of a ramp and travels 1.5m to the bottom.…
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Q: A concept car includes a solid disk-shaped flywheel which can be spun up to store rotational kinetic…
A: Given data : Mass of flywheel, m=380kg Radius of the flywheel, r=0.4m Angular speed of the flywheel,…
Q: A 100 g disk with a diameter of 10 cm rotates about an axis through its center of mass with 0.2 J of…
A: We know that-Moment of inertia of disk, I=12MR2given, M=100 g=0.1 kgR=10 cm2=5 cm=5×10-2 mthen,…
Q: Problem 1: A wheel with radius 10.8 cm starts from rest and increases its rotational speed until it…
A: (a) The angular acceleration is given by, α=ωf-ωiΔt Here, ωf is the final angular speed, ωi is the…
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: 3. A mass hangs from a fixed pulley. The mass is released from rest. Find the speed of the mass when…
A: We know that: m1=8.0 kg r=0.25 m m2=2.6 kg h=0.85 m Applying conservation of energy:…
Q: A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its…
A: We will first write an expression for rotational kinetic energy of an object. Then we use the given…
Q: A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its…
A: given that,Energy E = Mass of flywheel m = 34.8 kg Radius of flywheel R = 0.577 m, now we find the…
Q: A solid disk has a radius of 0.084 m and a mass of 5.33 kg. What is the rotational kinetic energy of…
A: given solid disk of mass (m)=5.33kg And radius (r)=0.084m rate of rotation…
Q: A spinning figure skater has a moment of inertia of 1.00 kgm2 with her arms tucked close to her body…
A: Given, moment of inertia of skater when arms tucked close to her body , Iclosed = 1.00 kgm2 moment…
Q: In the figure, three 0.10 kg particles have been glued to a rod of length L = 11 cm and negligible…
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