Three students in lab are trying to predict which of the following objects will reach the bottom of a 1.60m tall inclined ramp first: a solid cylinder, a spherical shell, or a hoop. All of the objects have the same radius (r=0.16m) and mass (m=0.28kg). The students' responses and explanations are below: George: I think the hoop will move fastest since more of its mass is located closer to the ramp, which means it doesn't need as much torque to cause it to accelerate. • Celeste: I think they will all travel down the ramp at the same speed because they all have the same mass and are all being acted on by gravity, and as long as we are assuming no air resistance then nothing will change between their three motions. • Mary: I think the solid cylinder will reach the bottom first because more of its mass is located towards the middle of the cylinder, which means it'll roll more easily. . Which student has the most physically accurate prediction? O Mary O George O Celeste Determine the translational velocity of the solid cylinder when it reaches the bottom of the ramp. m S What is the angular momentum of the spherical shell at the bottom of the ramp? (round to three decimal places) kg-m² S

Three students in lab are trying to predict which of the following objects will reach the bottom of a 1.60m tall inclined ramp first: a solid cylinder, a spherical shell, or a hoop. All of the objects have the same radius (r=0.16m) and mass (m=0.28kg). The students' responses and explanations are below: George: I think the hoop will move fastest since more of its mass is located closer to the ramp, which means it doesn't need as much torque to cause it to accelerate. • Celeste: I think they will all travel down the ramp at the same speed because they all have the same mass and are all being acted on by gravity, and as long as we are assuming no air resistance then nothing will change between their three motions. • Mary: I think the solid cylinder will reach the bottom first because more of its mass is located towards the middle of the cylinder, which means it'll roll more easily. . Which student has the most physically accurate prediction? O Mary O George O Celeste Determine the translational velocity of the solid cylinder when it reaches the bottom of the ramp. m S What is the angular momentum of the spherical shell at the bottom of the ramp? (round to three decimal places) kg-m² S

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

Three students in lab are trying to predict which of the following objects will reach the bottom of a 1.60m tall inclined ramp first: a solid cylinder, a spherical shell, or a hoop. All of the
objects have the same radius (r=0.16m ) and mass (m=0.28kg ). The students' responses and explanations are below:
• George: I think the hoop will move fastest since more of its mass is located closer to the ramp, which means it doesn't need as much torque to cause it to accelerate.
• Celeste: I think they will all travel down the ramp at the same speed because they all have the same mass and are all being acted on by gravity, and as long as we are assuming no air resistance then
nothing will change between their three motions.
• Mary: I think the solid cylinder will reach the bottom first because more of its mass is located towards the middle of the cylinder, which means it'll roll more easily.
Which student has the most physically accurate prediction?
Mary
George
leste
Determine the translational velocity of the solid cylinder when it reaches the bottom of the ramp.
m
S
What is the angular momentum of the spherical shell at the bottom of the ramp? (round to three decimal places)
kg. m²
S

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