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A Solid Disk (Icm = MR2) Rolls Without Slipping θ\theta

Question 105

Multiple Choice

    A solid disk (I<sub>cm</sub> =   mR<sup>2</sup>)  rolls without slipping up a plane a distance s. The plane is inclined at an angle  \theta  with the horizontal. The disk has mass m, radius R, and an initial translational speed v. The distance s the disk rolls is A)    v<sup>2</sup>/(g sin  \theta )  B)    v<sup>2</sup>/(g sin  \theta )  C)    Rv/(g sin  \theta )  D)    mg(sin  \theta  - cos  \theta ) (Rv) <sup>2 </sup> E)  v<sup>2</sup>/(g sin  \theta )
A solid disk (Icm =     A solid disk (I<sub>cm</sub> =   mR<sup>2</sup>)  rolls without slipping up a plane a distance s. The plane is inclined at an angle  \theta  with the horizontal. The disk has mass m, radius R, and an initial translational speed v. The distance s the disk rolls is A)    v<sup>2</sup>/(g sin  \theta )  B)    v<sup>2</sup>/(g sin  \theta )  C)    Rv/(g sin  \theta )  D)    mg(sin  \theta  - cos  \theta ) (Rv) <sup>2 </sup> E)  v<sup>2</sup>/(g sin  \theta )  mR2) rolls without slipping up a plane a distance s. The plane is inclined at an angle θ\theta with the horizontal. The disk has mass m, radius R, and an initial translational speed v. The distance s the disk rolls is


A)     A solid disk (I<sub>cm</sub> =   mR<sup>2</sup>)  rolls without slipping up a plane a distance s. The plane is inclined at an angle  \theta  with the horizontal. The disk has mass m, radius R, and an initial translational speed v. The distance s the disk rolls is A)    v<sup>2</sup>/(g sin  \theta )  B)    v<sup>2</sup>/(g sin  \theta )  C)    Rv/(g sin  \theta )  D)    mg(sin  \theta  - cos  \theta ) (Rv) <sup>2 </sup> E)  v<sup>2</sup>/(g sin  \theta )  v2/(g sin θ\theta )
B)     A solid disk (I<sub>cm</sub> =   mR<sup>2</sup>)  rolls without slipping up a plane a distance s. The plane is inclined at an angle  \theta  with the horizontal. The disk has mass m, radius R, and an initial translational speed v. The distance s the disk rolls is A)    v<sup>2</sup>/(g sin  \theta )  B)    v<sup>2</sup>/(g sin  \theta )  C)    Rv/(g sin  \theta )  D)    mg(sin  \theta  - cos  \theta ) (Rv) <sup>2 </sup> E)  v<sup>2</sup>/(g sin  \theta )  v2/(g sin θ\theta )
C)     A solid disk (I<sub>cm</sub> =   mR<sup>2</sup>)  rolls without slipping up a plane a distance s. The plane is inclined at an angle  \theta  with the horizontal. The disk has mass m, radius R, and an initial translational speed v. The distance s the disk rolls is A)    v<sup>2</sup>/(g sin  \theta )  B)    v<sup>2</sup>/(g sin  \theta )  C)    Rv/(g sin  \theta )  D)    mg(sin  \theta  - cos  \theta ) (Rv) <sup>2 </sup> E)  v<sup>2</sup>/(g sin  \theta )  Rv/(g sin θ\theta )
D)     A solid disk (I<sub>cm</sub> =   mR<sup>2</sup>)  rolls without slipping up a plane a distance s. The plane is inclined at an angle  \theta  with the horizontal. The disk has mass m, radius R, and an initial translational speed v. The distance s the disk rolls is A)    v<sup>2</sup>/(g sin  \theta )  B)    v<sup>2</sup>/(g sin  \theta )  C)    Rv/(g sin  \theta )  D)    mg(sin  \theta  - cos  \theta ) (Rv) <sup>2 </sup> E)  v<sup>2</sup>/(g sin  \theta )  mg(sin θ\theta - cos θ\theta ) (Rv) 2
E) v2/(g sin θ\theta )

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