A large cylinder (disk) with mass 8.80 kg and radius 12.0 cm is initially at the top of a hill with a height of 22.0 m. If this cylinder rolls down the hill without slipping and without losing significant energy to air drag or friction, find the linear speed of the cylinder at the hill's bottom.
A large cylinder (disk) with mass 8.80 kg and radius 12.0 cm is initially at the...
A solid cylinder of radius 12.0 cm rolls down an incline with slipping. The angle of the incline is 28°. The coefficient of kinetic friction on the surface is 0.370. What is the angular acceleration (in rad/s2) of the solid cylinder? (Enter the magnitude.) rad/s2 What is the linear acceleration (in m/s2)? (Assume v > ωr. Enter the magnitude.) m/s2
2. Rolling down the hill (a) A solid cylinder of mass 1.0 kg and radius 10 cm starts from rest and rolls without slipping down a 1.0 m-high inclined plane. What is the speed of the cylinder when it reaches the bottom of the inclined plane? (b) How about a solid sphere of the same mass and radius? (c) How about a hoop of the same mass and radius? (d) Which of the above objects is moving fastest when it...
1.) Rotational Motion a.) A thin solid disk of radius R = 0.5 m and mass M = 2.0 kg is rolling without slipping on a horizontal surface with a linear speed v = 5.0 m/s. The disk now rolls without slipping up an inclined plane that is at an angle of 60 degrees to the vertical. Calculate the maximum height that the disk rolls up the incline. A. 5.1 m B. 2.6 m C. 2.9 m D. 3.1 m ...
A solid disk (radius R=2.5 cm , mass M =0.35 kg) rolls without slipping down an 30 degree-incline. If the incline is 4.2 m long and the disk starts from rest, what is the linear velocity of its center of mass at the bottom of the incline (in m/s)?
A bicycle wheel is approximately a hollow cylinder with an outside radius of 37 cm, inside radius of 33 cm, and a mass of 0.75 kg. A child rolls a bicycle tire down the street to see how far it will roll. a) While the wheel is on a 5.14° degree slope (9%), what is the acceleration of the wheel? b) What is the minimum coefficient of friction for the wheel to roll on a 5.14°slope? c) Ignoring friction, how...
A solid cylinder of radius R and mass m, and moment of inertia mR2/2, starts from rest and rolls down a hill without slipping. At the bottom of the hill, the speed of the center of mass is 4.7 m/sec. A hollow cylinder (moment of inertia mR2) with the same mass and same radius also rolls down the same hill starting from rest. What is the speed of the center of mass of the hollow cylinder at the bottom of...
A 1.9 m radius cylinder with a mass of 531.1 kg rolls without slipping down a hill which is 56.5 meters high. At the bottom of the hill, what fraction of its total kinetic energy is invested in rotational kinetic energy?
A 1.2 m radius cylinder with a mass of 8.8 kg rolls without slipping down a hill which is 5.7 meters high. At the bottom of the hill, what percentage of its total kinetic energy is invested in rotational kinetic energy?
A 1.2 m radius cylinder with a mass of 5.9 kg rolls without slipping down a hill which is 8.2 meters high. At the bottom of the hill, what fraction of its total kinetic energy is invested in rotational kinetic energy?
A uniform, solid sphere of radius 4.25 cm and mass 2.00 kg starts with a purely translational speed of 1.00 m/s at the top of an inclined plane. The surface of the incline is 1.00 m long, and is tilted at an angle of 22.0" with respect to the horizontal Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speedy at the bottom of the ramp.v2 = _______ m/s