Three objects roll without slipping from rest down an inclined plane. A solid sphere with 1,-...
Three objects roll without slipping from rest down an inclined plane. A solid sphere with I1= 2/5 MR2, a hollow solid cylinder I = MR2, and a solid cylinder with I2 = 1/2 MR2. Which of the objects will reach the bottom of the inclined plane first? Use conservation of energy for translation and rotational motion.
A hollow, thin-walled cylinder and a solid sphere start from rest and roll without slipping down an inclined plane of length 3.0 m. The cylinder arrives at the bottom of the plane 2.8 s after the sphere. Determine the angle between the inclined plane and the horizontal.
a solid sphere rolls without slipping from height of 3.5m down inclined plane. calculate speed of sphere when it reaches bottom of ramp.
The following objects will simultaneously start from rest at the top of an inclined plane and roll without sliding down the plane. Object Mass Radius A solid disk 2.0 kg 50 cm B thin hollow sphere 3.0 kg 10 cm C hoop 1.0 kg 10 cm D solid sphere 10.0 kg 20 cm E solid cylinder 5.0 kg 20 cm Part A Part complete Write down the order of the arrival at the bottom of the plane, from the first...
, A solid sphere and a hoop are released from rest and roll down an inclined plane. At the bottom of the plane, which has the greatest translational kinetic energy and which has the greatest rotational kinetic energy? Greatest Translational Kinetic Energy Same Same Hoop Sphere Sphere Greatest Rotational Kinetic Energy Hoop Sphere Sphere Hoop Sphere
(a) A sphere and a cylinder are released from the top of an inclined plane and roll without slipping to the bottom. Which one gets there first? (explain your answer and show calculations) [2 Marks] (b) What does it mean to say that an object is dynamically balanced? How is this different to an object being statically balanced? [1 Mark] (c) Under what conditions can we apply techniques from 2-dimensional (planar) rigid body mechanics to 3-dimensional objects? [1 Mark] (d)...
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 cylinder is released from rest and rolls without slipping down an inclined plane. A block with the same mass slides down another inclined plane, which is identical to the first inclined plane except that it is frictionless. If both the block and cylinder are released from the same height and at the same time, М. M o the cylinder will reach the bottom first. o the cylinder will reach the bottom with a greater kinetic energy, neither object...
A hollow 0.358 kg sphere rolls without slipping down an inclined plane that makes an angle of 41.0o with the horizontal direction. The sphere is released from rest a distance 0.734 m from the lower end of the plane. a. How fast is the hollow sphere moving as it reaches the end of the plane? b. At the bottom of the incline, what fraction of the total kinetic energy of the hollow sphere is rotational kinetic energy?
5. A uniform solid sphere rolls without slipping down a 19° inclined plane. What is the acceleration of the sphere's center of mass? The moment of inertia of a uniform solid sphere about an axis that passes through its center = ⅖mr². The moment of inertia of a uniform solid sphere about an axis that is tangent to its surface = 7⁄5mr².