Two uniform cylinders have different masses and different rotational inertias Th
ID: 1414208 • Letter: T
Question
Two uniform cylinders have different masses and different rotational inertias They simultaneously start from rest at the top of an inclined plane and roll without sliding down the plane. The cylinder that gets to the bottom first is: the one with the larger mass the one with the smaller mass the one with the larger rotational inertia the one with the smaller rotational inertia neither (they arrive together) A hoop, a uniform disk, and a uniform sphere, all with the same mass and outer radius, start with the same speed and roll without sliding up identical inclines. Rank the objects according to how high they go. least to greatest. hoop, disk, sphere disk, sphere, hoop sphere, hoop, disk sphere, disk, hoop hoop, sphere, disk A particle is located on the x axis at x = 2.0 m from the origin A force of 25 N. directed 30 degree above the x axis in the x-y plane, acts on the particle What is the torque about the origin on the particle? 50 Nm. in the positive z direction 25 N m. in the positive z direction 50 N m. in the negative z direction 25 Nm. in the negative z direction There is no torque about the origin. The unit kg-m^2/s can be used for: angular momentum rotational kinetic energy rotational inertia torque power A 2.0-kg block travels around a 0.50-m radius circle with an angular velocity of 12 rad/s. The magnitude of its angular momentum about the center of the circle is: 6.0 kg m^2/s 12 kg-m^2/s 48 kg m^1/s 72 kg m^1/s 576 kg m^1/sExplanation / Answer
19) E they arrive together,
Reason: Acceleration depends on the ratio I / mr^2. for a solid cylinder it comes out to be
1/2 .acc = [ g*sin] / [1 + (I / mr^2) ]
where = angle of incline , m =mass , r = radius , I = Moment of inertia , g = acc. due to gravity.
since acceleration of both cylinders is same they come down in the the same time.
20) D :Sphere, Disk, Hoop
Reason:with have Hoop I=1 Disk I=1/2 Sphere I=2/5
The higher I the more reluctant the object is to rolling so the order of arrival should be Sphere, Disk, Hoop
22) A angular momentum
21) B: torque = F x r
T = F*r sin
T = 25 * 2 * sin 30
T= 25 N-m positive z- axis
23) A :
v=wr=12*5=6
angular momentum=mvr=2*6*5=6kg-m2/s
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