Question 9 10 pts A hollow cylinder of outer radius R = 14 cm and mass...
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 hollow cylinder of mass M has an outer radius of 10 cm. Calculate the inner radius of the cylinder, if the cylinder is to roll down an incline in the same time as a spherical shell of mass M and radius 10 cm. You may assume that the moment of inertia of a spherical shell of mass M and radius R is 2MR2/3. answer: 5.8 cm
A 4.00 kg hollow cylinder of radius 5.00 cm starts from rest and rolls without slipping down a 30.0 degree incline. The acceleration of the center of mass of the cylinder is:
A cylinder of radius R=15.0cm and mass m=900g is released from rest at the top of an incline of height h=10.0m. It rolls, without slipping, to the bottom of the incline. Calculate cylinder's: a)moment of inertia about its center of rotation. b)angular velocity at the bottom of the incline.
A 0.2-kg solid cylinder has a radius of 0.1 m. It is placed at the top of an incline that is 0.7 m tall. The ball rolls down the incline without slipping. What is the speed of the ball’s center of mass when it reaches the bottom?
A hollow cylinder is released from rest and rolls down the incline without slipping. The incline has an angle of thera=40 degrees with the horizontal. The mass and radius of the cylinder is M=5kg and R=0.55m respectively. Moment of inertia of a hollow cylinder is I=MR^2. a)Draw the free body diagram of the hollow cylinder showing all the forces and their components. b) Using newtons 2nd law for linear and rotational motion, derive an expression for linear acceleration of the...
A 200 kg concrete culvert (a hollow cylinder with radius 0.50 m) rolls from rest without slipping 50 m down a road with inclination 10°. What is the culvert's linear speed at the bottom? (The moment of inertia is I=MR2). Assume that gravity is the only force that is acting in initiating the motion of the culvert (creates torque).
A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping down a 35° incline that is 7.9 m long. Assume it started from rest. The moment of inertia of a sphere is given by I = 2/5MR2. (a) Calculate the linear speed of the sphere when it reaches the bottom of the incline. (b) Determine the angular speed of the sphere at the bottom of the incline.
A sphere of radius r =34.5 cm and mass m = 1.80 kg starts from rest and rolls without slipping down a 30.0∘ incline that is 10.0 m long. Calculate its translational speed when it reaches the bottom. Calculate its rotational speed when it reaches the bottom. What is the ratio of translational to rotational kinetic energy at the bottom?
A sphere of radius r =34.5 cm and mass m = 1.80 kg starts from rest and rolls without slipping down a 30.0∘ incline that is 10.0 m long. Calculate its translational speed when it reaches the bottom. Calculate its rotational speed when it reaches the bottom. What is the ratio of translational to rotational kinetic energy at the bottom?