A thin circular ring of mass m and radius R is rotating about its axis with a constant angular velocityω. Two objects each of mass M are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with an angular velocity ω‘, which is equal to

Q: A bolt is threaded onto one end of a thin horizontal rod, and the rod is then rotated horizontally…

A: The number of revolutions per second is The linear velocity here is

Q: A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.817 rad/s.…

A:

Q: Steve (whose mass is 31.8 kg) and Snot (whose mass is 22.5 kg) are standing at the center of a 110…

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Q: A massless, frictionless merry-go-round of radius R has one child of mass M sitting on the outer…

A: Since no net torque acts on the system, according to the principle of conservation of angular…

Q: A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.929 rad/s.…

A: Given, Circular platform rotates ccw 90.7 kg radius 1.83 m, 0.929 rad/s You 71.7 kg, cw 1.19m/s, at…

Q: Now we have a rod-shaped space station of length 682 m and mass 4.04 x 10^6 kg, which can change its…

A: Initial length of the space station, l1=682 m Mass of the space station, m=4.04×106 kg      (mass of…

Q: The Roundup is an amusement park ride that puts riders on the inside of a horizontal ring with a…

A: Given: Radius = 10 m Constant rpm = 17 rpm Angle = 90°

Q: An aeroplane is flying in circles of radius r_o at a speed of v_o giving the plane an angular…

A: initial radius = r0 initial speed = V0 initial angular velocity = W0 final radius = r = 1.5 r0

Q: An air puck of mass 0.031 kg is tied to a string and allowed to revolve in a circle of radius 1.5m…

A:

Q: In the figure below, two blocks, of mass m, = 380 g and m2 = 800 g, are connected by a massless cord…

A: Given that, m1=0.380 kgm2=0.800 kgM=0.500 kgR=0.12 m The free body diagram of the two blocks are…

Q: Zorch, an archenemy of Superman, decides to slow Earth’s rotation to once per 27 h by exerting a…

A: Given:

Q: A dumbbell is composed of two particles, each of mass m, connected by a massless rod of length l.…

A:

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: A disk of mass m, = 60.0 g and radius r, = 4.50 cm slides on a frictionless sheet of ice with…

A: Given mass 1=60g Mass2= 100g R1 =4.5cm R2 =5cm Velocity v=13m/s We have to find magnitude of the…

Q: A rod with length L and mass M hangs vertically on a frictionless, horizontal axel passing through…

A:

Q: An air puck of mass m, = 0.17 kg is tied to a string and allowed to revolve in a circle of radius R…

A: (a) Calculate the tension in the string. T = weight of the mass    = m2 g    = 1.3*9.81   = 12.753 N…

Q: A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.863 rad/s.…

A: Given Data: Angular velocity of the platform (ωp) = 0.863 rad/s.Mass of the person (mp) = 69.1…

Q: A disk of mass m, = 60.0 g and radius r, = 4.50 cm slides on a frictionless sheet of ice with…

A: Given that                      disc of mass  m1 =60g ,   r1 = 4.5 cm…

Q: A 25-kg wheel has a radius of 40 cm and turns freely on a horizontal axis, The radius of the wheel…

A: Given: Mass of wheel, M = 25 kg Radius of wheel, R = 40 cm = 0.4 m Radius of gyration, K = 30 cm =…

Q: An object of mass m1 = m and an object of mass m2 = 2m move around a rotation axis A in parallel…

A: The moment of inertia of the outer mass m1 can be given as, The moment of inertia of the inner mass…

Q: Consider a non-rotating space station in the shape of a long thin uniform rod of mass 7.36 x 10^6 kg…

A:

Q: In a city park, a carousel with mass 35 kg and radius 1.5 m is a horizontal uniform disk rotating at…

A:

Q: Certain neutron stars (extremely dense stars) are believed to be rotating at about 1.1 rev/s. If…

A:

Q: A disk of mass m, = 60.0 g and radius r, = 4.50 cm slides on a frictionless sheet of ice with…

A: The center of mass of two discs is at a distance of 6.65 cm from m1

Q: Find the angular momentum (in kg · m2/s) of Saturn in its orbit around the Sun. - The mass of Saturn…

A:

Q: An experiment is performed in deep space with two uniform spheres, one with mass 50.0 kg and the…

A: Given: Mass of first sphere, m1=50 kgMass of second sphere, m2=100 kgRadius, r=0.20 m a. There are…

Q: 3. The member OA rotates in vertical plane about a horizontal axis through O with a constant counter…

A:

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: Four objects with the same mass and outer radius, start at rest and roll without sliding (a) Rank…

A:

Q: What would the kinetic energy of the sculpture be if the rod was three times as long but it still…

A: Length of rod becomes S’ = 3S S’ = 3X4 = 12m Moment of inertia of sphere Isphere = m(S’/2)2 Is = 2 X…

Q: Two small 0.15-kg masses are attached to opposite ends of a very lightweight rigid rod 0.7 m long.…

A: The velocity of the system.The radius of the circle,

Q: Two small 0.55-kg masses are attached to opposite ends of a very lightweight rigid rod 0.7 m long.…

A: Given, Mass m = 0.55 Kg Length of rod l = 0.7 m Radius of circle r = 0.35 m Speed v = 0.35 m/s

Q: A 50-lb sphere A with a radius of 4.5 in. is moving with a velocity of magnitude v0 = 6 ft/s. Sphere…

A: The coefficient of restitution is defined as e=relative velocity after collision relative velocity…

Q: A phonograph record of Mozart's N.41 Symphony is whirling around at 103 rpm. Two balls, each of mass…

A: given: mass of each ball (m) = 0.1 kg. symphony speed = 103 rpm. distance between ball 1 and center…

Q: A massless, frictionless merry-go-round of radius R has one child of mass M sitting on the outer…

A: