1. [1pt] For each statement, pick the phrase that will make it true. E.g., if A
ID: 1471580 • Letter: 1
Question
1. [1pt]
For each statement, pick the phrase that will make it true. E.g., if A makes the first statement true, and B makes the rest true, enter ABBB. Select from:
a. Five round bodies of the same radius and mass are started from rest together and roll, without slipping, down an inclined plane. The bodies are a cylindrical can full of juice, a solid cylinder, a solid sphere, a hollow sphere, and a hollow cylinder. The cylindrical can full of juice takes _______ time compared to the solid cylinder to reach the bottom of the incline.
b. A block _slides_ down a frictionless incline and a sphere _rolls_ without slipping down an incline of the same angle, . The block and the sphere have the same mass; they both start from rest. The block takes _______ amount of time to reach the bottom of the incline, compared to the sphere.
c. A small Hot-wheels car and a marble roll, from rest and without slipping, down an incline. Neglecting frictional losses, the marble takes _______amount of time to reach the bottom of the incline, compared to the car.
2. [1pt] For each of the pairs of objects below, decide which object has the larger moment of inertia, selecting from the following answers:
A) the first B) the second C) neither D) can't tell
E.g., if the answer for the first pair is B and for the rest, D, enter BDDDDD.
The objects are of uniform density. Unless otherwise indicated, the flat objects rotate about an axis perpendicular to the plane in which they lie.
a. (A) A sphere of radius a rolling on a table, or (B) a cylinder of the same mass and radius a, also rolling.
b. (A) A thin circular sheet of material of radius a/2 rotating about a tangent, or (B) a thin square sheet of the same material of side a, rotating about its lower edge.
c. (A) A thin square sheet of material of side a rotating about its centre, or (B) a thin sheet of the same material in the form of an equilateral triangle of side a, also rotating about its centre.
d. (A) A thin circular sheet of material of radius a/2 rotating about its centre, or (B) a thin square sheet of the same material of side a, also rotating about its centre.
e. (A) A cylindrical shell rolling on a table, or (B) a solid cylinder of identical mass and size, also rolling.
f. (A) A rod of mass m and length rotating about its centre, or (B) a rod of mass 2m and length , also rotating about its centre.
A) the same B) a greater C) a smallerExplanation / Answer
Question 1 :
(a) Five round bodies of the same radius and mass are started from rest together and roll, without slipping, down an inclined plane. The bodies are a cylindrical can full of juice, a solid cylinder, a solid sphere, a hollow sphere, and a hollow cylinder. The cylindrical can full of juice takes greater time compared to the solid cylinder to reach the bottom of the incline.
(b) A block slides down a frictionless incline and a sphere rolls without slipping down an incline of the same angle, . The block and the sphere have the same mass; they both start from rest. The block takes smalleramount of time to reach the bottom of the incline, compared to the sphere.
(c) A small Hot-wheels car and a marble roll, from rest and without slipping, down an incline. Neglecting frictional losses, the marble takes Same amount of time to reach the bottom of the incline, compared to the car.
(d) Two identical balls are released from rest and roll without stopping to the bottom of their respective inclined planes. They are released from the same vertical height; incline 2 is much steeper than incline 1. Ball 1 has Same speed when it reaches the bottom of its incline, compared to ball 2.
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