Question

A solid sphere, solid cylinder, and a hollow pipe all have equal masses and radii and are of uniform density. If the three are released simultaneously at the top of an inclined plane and roll without slipping, which one will reach the bottom first? A) solid sphere B) solid cylinder C) hollow pipe D) They all reach the bottom at the same time. Hint: Isphere = 2/5 m * R^2 Icylinder = 1/2 m * R^2 Ihoop = m * R^2 Hint 2: Krotational = I * ?^2 / 2 v = ? * R

          A solid sphere, solid cylinder, and a hollow pipe all have equal masses and radii and are of uniform density. If the three are released simultaneously at the top of an inclined plane and roll without slipping, which one will reach the bottom first?
A) solid sphere
B) solid cylinder
C) hollow pipe
D) They all reach the bottom at the same time.

Hint: Isphere = 2/5 m * R^2
Icylinder = 1/2 m * R^2
Ihoop = m * R^2

Hint 2: Krotational = I * ?^2 / 2
v = ? * R

A solid sphere, solid cylinder, and a hollow pipe all have equal masses and radii and are of uniform density. If the three are released simultaneously at the top of an inclined plane and roll without slipping, which one will reach the bottom first?
A) solid sphere
B) solid cylinder
C) hollow pipe
D) They all reach the bottom at the same time.

Hint: Isphere = 2/5 m * R^2
Icylinder = 1/2 m * R^2
Ihoop = m * R^2

Hint 2: Krotational = I * ?^2 / 2
v = ? * R

Added by Fernando B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Maitreya E

05/27/2022

Step 1

Step 1: Calculate the speed of each object rolling without slipping down the inclined plane using the formula: \(v = \sqrt{\frac{2gh}{\frac{I}{r^2}}}\), where \(h\) is the height of the inclined plane, \(I\) is the moment of inertia, and \(r\) is the radius. Show more…

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A solid sphere, solid cylinder, and a hollow pipe all have equal masses and radii and are of uniform density. If the three are released simultaneously at the top of an inclined plane and roll without slipping, which one will reach the bottom first? A) solid sphere B) solid cylinder C) hollow pipe D) They all reach the bottom at the same time. Hint: Isphere = 2/5 m * R^2 Icylinder = 1/2 m * R^2 Ihoop = m * R^2 Hint 2: Krotational = I * ω^2 / 2 v = ω * R