No further information is
given and a diagram is not necessary.
just substitute h = 5 m to get
the velocity in each case
No further information is given and a diagram is not necessary. 1. A solid sphere, a...
Three objects roll without slipping from rest down an inclined plane. A solid sphere with 1,- 2/5 MR. a hallow cylinder Solid Cylinder I = MR', And a solid cylinder with I, - 1/2MR'. . Which of the objects will reach the bottom of the inclined plane first? Use conservation of energy for translation and rotational motion. RAMP (f) Solid cylinder (h) Solid sphere MRP (9) Thin-walled hollow cylinder R R OB JE(1 3 OBJECT 2 OBJECTI a) OBJECT S...
A 3.0 kg solid sphere (radius = 0.20 m ) is released from rest at the top of a ramp and allowed to roll without slipping. The ramp is 0.90 m high and 5.5 m long. A.) When the sphere reaches the bottom of the ramp, what is its total kinetic energy? B.) When the sphere reaches the bottom of the ramp, what is its rotational kinetic energy? C.) When the sphere reaches the bottom of the ramp, what is...
A solid sphere is allowed to roll without slipping down a 5.0 meter long board that is tilted 20° with respect to the horizontal such that the board forms a ramp. If the sphere started at rest at the top of the ramp, what is the linear velocity of its center of mass when it reaches the bottom of the ramp?
A 2.1 kg solid cylinder (radius = 0.20 m , length = 0.60 m ) is released from rest at the top of a ramp and allowed to roll without slipping. The ramp is 0.85 m high and 5.0 m long. When the cylinder reaches the bottom of the ramp, what is its total kinetic energy? When the cylinder reaches the bottom of the ramp, what is its rotational kinetic energy?
Four objects-a hoop, a solid cylinder, a solid sphere, and a thin, spherical shell-each have a mass of 4.87 kg and a radius of 0.271 m (a) Find the moment of inertia for each object as it rotates about the axes shown in this table. hoop solid cylinder solid sphere thin, spherical shell kg kg m2 kg m kg m (b) Suppose each object is rolled down a ramp. Rank the translational speed of each object from highest to lowest....
A solid brass sphere, an aluminum hoop, and a solid stainless steel cylinder are each allowed to roll down the entire length of a one-meter long plank that is inclined at an angle of 30 degrees to the horizontal. The density of brass is 8.50.1g/cmº), the density of aluminum is 2.60 [g/cm3), and the density of stainless steel is 7.50 [g/cm3]. A. Which object will reach the bottom of the plank in the shortest length of time? [5] (a) Can't...
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...
A 2.4 kg solid cylinder (radius = 0.10 m , length = 0.70 m ) is released from rest at the top of a ramp and allowed to roll without slipping. The ramp is 0.90 m high and 5.0 m long. 1. When the cylinder reaches the bottom of the ramp, what is its total kinetic energy? (Express your answer using two significant figures.) 2. When the cylinder reaches the bottom of the ramp, what is its rotational kinetic energy?...
A solid cylinder is released from the top of an inclined plane of height 0.682 m. From what height on the incline should a solid sphere of the same mass and radius be released to have the same speed as the cylinder at the bottom of the hill? Assume that both objects roll down the incline without slipping. m
A solid sphere of mass 4.0 kg and radius of 0.12 m is at rest at the top of a ramp inclined 150. It rolls to the bottom without slipping. The upper end of the ramp is1.2 m higher than the lower end. What is the linear speed of the sphere when it reaches the bottom of the ramp?4.1 m/s is the correct answer.