A solid disk with radius r = 10cm rolls smoothly from rest from the top of the roof that is 12m long and inclined 30°. Using energy conservation law, calculate a) the velocity of the center of mass of the disk at the edge, b) the angular velocity of the disk at the same moment. The moment of inertia of a solid disk rotated about its center is I=1/2MR?

Q: A fan has four blades attached to a central shaft. The blades are If = 15 cm long and each blade…

A:

Q: Re As shown below, a hollow cylinder with a mass 0.354 kg and an inner radius of 20 cm and an outer…

A: Moment of inertia of a hollow cylinder of mass M with inner radius "a" and outer radius "b" is given…

Q: A bullet B  is fired horizontally into the center G of the target plate with a mass of 50 kg. Before…

A:

Q: A particle has mass 0.5 kg and is traveling along the line x = 5.0 m at 2.0 m/s in the positive…

A:

Q: e A 12-g CD with a radius of 6.0 cm rotateswith an angular speed of 34 rad/s. (a) What is its…

A: The expression for the moment of inertia of the CD,   Substitute,

Q: Two wheels of moment of inertia 8.6 kg.m and 13 kg m² are set in rotation with angular speed 2.1…

A: The situation provided in the question reassembles the condition of inelastic collision. Thus, apply…

Q: A 0.00600-kg bullet traveling horizontally with speed 1.00 x 10° m/s strikes a 20.5-kg door,…

A: Given,Mass of the bullet travelling, mb =0.00600 kgHorizontally with speed of bullet, v = 1×103…

Q: A 2.0 kg block travels around a 0.50 m radius circle with an angular velocity of 13 rad/s. The…

A: Angular momentum,

Q: At time t = 0, a 3.0 kg particle with velocity v = (5.0 m/s)i - (6.0 m/s)j is at x = 3.0 m, y = 8.0…

A: Mass of particle is Velocity is Position coordinates of particle are Force is  acting along…

Q: A solid, uniform disk of radius 0.250 m and mass 62.7 kg rolls down a ramp of length 5.10 m that…

A:

Q: A 0.25 g uniform rod 12 cm long connects two solid spheres. The first ball has a mass of 0.5 g and a…

A: Given information: The mass and radius of the spheres: first ball:M1=0.5 g=5×10-4 kgR1=10 cm = 0.1…

Q: Three children are riding on the edge of a merry‑go‑round that has a mass of 105 kg and a radius of…

A: In the given question We have to determine new angular speed in rpm.

Q: |A disk with moment of inertia I1 rotates about a frictionless, vertical axle with angular speed Wi.…

A: By conservation of angular momentam Li=Lf Iiωi=Ifωf

Q: A solid homogeneous cylinder of radius r= 0.5m and mass of m = 50kg is rolled up a 0 = 20° incline…

A: Given: Radius, r=0.5 m Mass, m=50 kg Inclined angle, θ=20 ° Force, P=100 N Time, t=6 sec To find:…

Q: Problem 3:   Modern wind turbines generate electricity from wind power. The large, massive blades…

A: The expression for angular momentum(L) of the wind turbine, is given as, L = I×ω, where 'I' is the…

Q: 2. Two astronauts (figure), each having a mass of 70.0 kg, are connected by a d = 9.0-m rope of…

A:

Q: A child jumps to the edge of a carousel, that is in the shape of a circular plate with a radius of…

A: Given Waight of plate is 80 kg Radius of plate is 1.3 m Weight of boy is 22kg Concept - law of…

Q: A pool ball is struck directly in its center so that it begins to slide across the table without…

A:

Q: A 5.0 kgkg, 68-cmcm-diameter cylinder in (Figure 1) rotates on an axle passing through one edge. The…

A: Given data: Mass m = 5.0 kg Diameter D = 68 cm

Q: A uniform solid disk of mass m = 2.99 kg and radius r = 0.200 m rotates about a fixed axis…

A: Given : Mass of a uniform solid disk (m) = 2.99 kg Radius (r) = 0.200 kg Angular frequency (w) =…

Q: A sanding disk with rotational inertia 0.0012 kg-m2 is attached to an electric drill whose  motor…

A: GivenI = 0.0012 kg m2T = 15 N-mT = 48×10-3 s