Help 13.Two spheres of mass M and radius R are both released from rest at the...
help 13.Two spheres of mass M and radius R are both released from rest at the top of a hill and allowed to roll to the bottom. One of the spheres is hollow however, while the other is solid. Which of the spheres reaches the bottom first? A) The hollow one B) The solid one C) They reach the bottom at the same time D) It depends on the angle of inclination. E) It depends on the length of the...
Multiple Choice (select the best answer) (2 pts each 1. Consider a uniform hoop of radius R and mass M rolling without slipping. Which is larger, its translational kinetic energy or its rotational kinetic energy? A) Translational kinetic energy is larger B) Rotational kinetic energy is larger. C) Both are equal. D) You need to know the speed of the hoop to tell. 2. A disk and a hoop of the same mass and radius are released at the same...
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 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.
Question 5. Consider the following four obiects: a hoop, a flat disk,a solid sphere, and a hollow sphere. Each of the objects has mass M and radius R. The axis of rotation passes through the center of each object, and is perpendicular to the plane of the hoop and the plane of the flat disk. Which of these objects requires the largest torque to give it the same angular acceleration? A) the hoop D) the flat disk B) the hollow...
Question 5. Consider the following four ticis hoop, afat disks sphere, and a hollow sphere. Each of the a cts has mass M and radius R The axis of rotation passes through the center of each obiect, and is perpendicular the plane of the hood and the plane of the fat disk Which of these objects requires the largest torgue to give it the same angular acceleration? A) the hoop B) the hollow sphere C) the solid sphere D) the...
Two spheres of equal mass M and equal radius R roll down an inclined plane as shown in the figure. One sphere is solid and the other is a hollow spherical shell. The plane makes an angle ? with respect to the horizontal. The spheres are released simultaneously from rest at the top of the inclined plane and they each roll down the incline without slipping. The total distance each sphere rolls down the ramp (the hypotenuse) is d. There...
A solid sphere of mass M and radius R starts from rest at the top of an inclined ramp, and rolls to the bottom. The upper end of the ramp is h meters higher than the lower end. (Note: The moment of inertia for a solid sphere rotating about an axis through its center is (2/5)MR2) Draw an energy bar chart & corresponding equation for this situation Symbolically, what is the linear speed of the sphere at the bottom of the ramp...
3. A merry-go-round (uniform disk) of mass M = 125 kg and radius R = 1.5 m is rotating initially wi = 12 rad/s. A person (we'll call the person a thin uniform rod) of mass m = 65 kg and height h= R initially stands over the rotation axis. The person decides to lie down with feet at the center and head at the outer edge (see figure). Since the person is a "thin rod', we can ignore the...
1. A solid cylinder has a mass of 5 kg and a radius of 30 cm. A torque of 40 Nm is applied to the cylinder. What will be its angular acceleration? a) 37.5 rad/s2 b) 59.3 rad/s2 c) 89.0 rad/s2 d) 178 rad/s2 2. When an object is in static equilibrium a) the net force on it is zero b) the net torque on it is zero c) the net force and net torque are zero d) not enough...