a solid sphere, cylinder, and hoops roll down a slope and up a next incline. in what order will they arrive at the bottom of the first slope and which will rise the highest on the next incline?
The solid sphere will reach the bottom of the first slope first then the cylinder and then hoop.
The reason behind it is we want the mass to be concentrated as close to the center as possible. This is intuitive, we don’t want to ‘waste’ energy spinning up the object - we want to concentrate on maximizing its speed.
The solid sphere will have max. velocity so it will rise the highest on the next incline.
a solid sphere, cylinder, and hoops roll down a slope and up a next incline. in...
A solid sphere and a solid cylinder both of mass (m) are rolling down an incline with height (h) and angle θ. What is the ratio of the speed of the sphere to the solid cylinder upon reaching the bottom?
A solid cylinder, solid sphere, and a thin hoop which have different masses and different radii, roll without slipping down an incline plane. Which object reaches the bottom first? The moments of inertia are Icylinder = 1/2 MR2; Isphere = 2/5 MR2 and Ihoop = MR2. (A)The solid cylinder (B) The sphere (C) The thin hoop (D) They all reach the bottom at the same time.
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Two objects roll down an incline: a solid sphere (I = 2/5 MR^2) and a thin hoop (I = 1/2 MR^2). If each has the same mass and the same radius, explain how you would determine which one would reach the bottom faster. Consider conservation of energy as the object rolls. What types of energy does the object have at the top and at the bottom of the incline?
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.
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 magnesium cylinder and a steel ring roll down a slope without slipping on the surface. Both objects have the same mass and outside diameter. The moment of inertia of a cylinder is Icyl mra and the moment of inertia of a ring is Iring m (r2 + rî). Which object will reach the bottom first? 1 1 2 A. The magnesium cylinder will reach the bottom first. B. The steel ring will reach the bottom first. C. They...
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 magnesium cylinder and a steel ring roll down a slope without slipping on the surface. Both objects have the same mass and outside diameter. The moment of inertia of a cylinder is Icyl = m r2 and the moment of inertia of a ring is lring = m (r? + r?). Which object will reach the bottom first? A. The magnesium cylinder will reach the bottom first. B. The steel ring will reach the bottom first. C. They will...
Two solid spheres simultaneously start rolling (from rest) down an incline. One sphere has twice the radius and twice the mass of the other. 1. Which reaches the bottom of the incline first? (answer: arrive at the same time) 2. Which has the greater speed there? (answer: same speed) 3. Which has the greater total kinetic energy at the bottom? (answer: the one with larger R) i already have the answer, please explain WHY, thank you
A solid sphere and a hollow cylinder of the same mass and radius have a rolling race down an incline as in Example 13.9. They start at rest on an incline at a height habove a horizontal plane. The race then continues along the horizontal plane. The coefficient of rolling friction between each rolling object and the surface is the same. Both have mass M Both have radius R. Write an expression for the distances that each object will roll...