Ex. 56: A light meter rod has two point masses each of 2 kg fixed at its ends. If the system rotates about its centre of mass with an angular speed of 0.5 rad/s, find it rotational K. E.
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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
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A: The initial angular speed of the disk is given as ω1=17 rad/s
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Q: through its centre changes from 30 rad/s to 35 rad/s, the change in angular momentum 60 kgm?/s. What…
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Q: 4. Two identical, 1.50-kg point masses are supported on a rod with negligible mass. The rod and…
A: Given: Formula used:
Q: A 1.08 m light, rigid rod joins two particles of masses 2.34 kg and 3.77 kg at its ends. (a) If the…
A: The length of the rod is 1.08 m. The masses of two particles are 2.34 kg and 3.77 kg. The linear…
Q: Joey, whose mass is 36 kg, stands at the center of a 200 kg merrygo- round that is rotating once…
A: Given mass of Joey m=36 kgmass of merry go round m1=200 kgWhen Joey is all the centerIt is…
Q: There is person with a mass of 45 kg who is standing at the center of a turntable that is rotating…
A: Mass of person, Initial angular velocity, The turntable is a uniform disk- Radius, R=2.4 m Mass ,…
Q: A DVD is spinning at 650.133 rpm. What is the size of the angular momentum of the DVD if it has a…
A: Angular velocity , ω = 650.133 rpm = 68.1 rad/s Circumference , C = 38.97 cm = 0.39 m Mass , M =…
Q: Microwave ovens rotate at a rate of about 8 rev/min. What is this in revolutions per second? rev/s…
A: Given in question - Angular velocity (ω) = 8 rev/min To find - (a) What is this in revolutions per…
Q: What is the angular momentum of a 250-g mass rotating on the end of a piece of rope in a circle of…
A: Given , Mass = 250 g = 0.25 kg W = 12 rad/s R = 50 cm = 0.5 m
Q: A DVD is rotating at 440 rpm. What is the angular momentum of the DVD if has a radius of 6.00 cm and…
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Q: include units
A: a)The rotational inertia is 0.0248267kgm2b)The kinetic rotational energy is…
Q: A solid sphere, with a mass of 5 kg and a radius of 3 m, rolls with constant speed along a…
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Q: In the figure below, two particles, each with mass m 0.85kg, are fastened to each other, and to a…
A: The particles are treated "point-like" which shows their rotational inertia, and the rotational…
Q: What is the angular momentum (in kg*m*m/s) of a 350 g symmetrical rotating bar which is 4.50 m long…
A: Given, Mass of symmetrical bar (m) = 0.350kg Length of bar (L) = 4.50m Bar is rotating about…
Q: A 1840 kg car has just passed a diner. The closest the car came to the diner was R = 32.5 m, but the…
A: Given mass of car = m = 1840 kg distance traveled by car = x = 34.7 m R = 32.5 m time taken to…
Q: What is the instantaneous velocity of the top of the rolling cylinder? What is the angular speed of…
A: Given: Mass of a solid cylinder disk, m=1.4kg Radius, r=8.5cm Speed, v=15cm/s
Q: How fast, in rpm (revolution per minute), would a 5.0 kg, 22-cm-diamater bowling ball have to spin…
A: mass, m = 5 kg radius, r = 22 cm Angular momentum, L = 0.23 kg m2/s
Q: A ball of mass 2 Kg is attached at the end of a string of length 1 m and it is rotated with a linear…
A: Dear student, Since both questions are different as per guidelines we can author only first one…
Q: A uniform stick 1.4 m long with a total mass of 260 g is pivoted at its center. A 4.0-g bullet is…
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Q: 4.5 cm diameter uniform solid sphere has mass 110 g and is spinning at 1000 rpm. What’s its angular…
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Q: A rod of mass 1.6 kg and length 1.2m has two identical sliding small masses, mbeads =0.64 kg,…
A: By conservation of angular momentum
Q: vertical plastic rod of mass M and length L is free to rotate about its center but is at rest. A…
A: Mass of rod = M Lengh = L Mass of bullet (m) = M/18
Q: Question 1: The velocity of a 3 kg body is given by: v= (8i+5j) m/s. Given the body's position as r…
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Q: You observe a 2 kg sphere with a position of 7 = (5i + 2j – 3k)m and a velocity of i = (2i + 5k) m/s…
A: Given data, Sphere mass m= 2kg Position r = 5i+2j-3k Velocity v= 2i + 5k And now we find angular…
Q: A 200 g puck revolves in a circle on a frictionless table at the end of a 50.0 cm long string. The…
A: Consider the mass of the puck be m, the angular momentum of the puck be L, the radius of the circle…
Q: In a Maxwell's wheel experiment, the mass of the wheel is 450 gram, and the radius of the spindle…
A: Given that,Mass of the wheel=450gmRadius of the spindle=3 mmHeight from which spindle released=30…
Q: A force F of 15 N and a moment M of 40 Nm act on the 4 kg of rod AB. The angular velocity of the rod…
A: Given information: The applied force, F=15 N The moment is, M=40 N·m The mass of the rod, m=4 kg The…
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 skater is spinning at 6.4 rev/s and has a moment of inertia of 0.48 kg ⋅ m2. Calculate the…
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Q: The angular momentum of a sphere is given by L = (−5.00t3) + (6.10 − 1.80t2) + (6.95t), where L…
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Q: A 7.4 cm diameter uniform solid sphere has mass 310 g and is spinning at 2000 rpm. What's its…
A: Given Diameter of solid sphere ,d=7.4 CM So Radius of sphere, R=d/2= 3.7 CM R=0.037 meters Mass of…
Q: A 1.9-kg hoop rolls without slipping on a horizontal surface so that its center proceeds to the…
A: The objective of the question is to calculate the angular momentum of a hoop rolling without…
Q: A playground merry-go-round with a mass of 105 kg and a radius of 1.5 m is rotating with an angular…
A: Given: The mass of the marry-go-round m1 = 105 kg. The mass of the child m2 = 17 kg. The radius of…
Q: A spinning disk is rotating at a rate of 3 rad/s in the positive counterclock-wise direction. If the…
A: The initial angular velocity of the disk: (positive counterclockwise)The angular acceleration of…
Q: a ring of mass m and radius r= 5.4 m rotating with an initial angular speed w, see figure.…
A: The mass of the ring is given as, m Radius of the ring is given as, r = 5.4 m The initial angular…
Q: In the figure. two particles. each with mass m 0.95 kg. are fastened to each other, and to a…
A: Given,mass of the each particle, m = 0.95 kglength of the rod, d = 5.8 cmmass of the rod, M = 1.0…
Q: A 4.3 m diameter merry-go-round with a mass of 227 kg is spinning at 35 rev/min. A student runs…
A: Let us consider the Radius of the merry-go-around be (rm) in meter with a mass of (Mm) in kilogram…
Q: A uniform disk of mass 4.46 kg has a radius of 0.100 m and spins with a frequency of 0.550 rev/s.…
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Q: A wheel on a car has an angular momentum of 5.00 kg m2/s. If the radius of the wheel is 0.25m, what…
A: Given data: Angular momentum is, L=5.00 kg·m2/s. Radius of wheel is, r=0.25 m.
Q: Question 2. This is a conceptual question. A disk of mass M and radius R is rotating about a fixed…
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Q: A wooden stick weighing 1.0 kg and 40 cm long can be rotated around a rectangular axis which is…
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