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Katen [24]
3 years ago
10

A disk and a hoop roll down an inclined plane. the plane is inclined at an angle of 11 degrees from the horizontal. what is the

minimum coefficient of friction required so that neither object slips?

Physics
1 answer:
anygoal [31]3 years ago
6 0
Hopefully this will help you.
Do the same for disc. Moment of Inertia of disc about its axis = MR²/2 

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A ball of mass m is thrown into the air in a 45° direction of the horizon, after 3 seconds the ball is seen in a direction 30° f
Rzqust [24]

Answer:

Velocity (magnitude) is 98.37 m/s

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Using kinematics expression of vertical velocity (in y direction) for an accelerated motion (constant acceleration, which is gravity):

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Now we need to find v_y as a function of v_0. We use the horizontal velocity, which is always the same as follow:

v_x=v_0cos(45\º)=\frac{\sqrt{2} }{2}v_0=v_{t=3}*cos(30\º) \\

We know the angle at 3 seconds:

v_y(t=3)=v_{t=3}*sin(30\º)\\v_{t=3}=\frac{v_y}{sin(30\º)}

Substitute  v_{t=3} in  v_x and then solve for  v_y

\frac{\sqrt{2} }{2}v_0=\frac{v_y*cos(30\º) }{sin(30\º)} \\v_y=\frac{\sqrt{6} }{6}v_0

With this expression we go back to the kinematic equation and solve it for initial speed

\frac{\sqrt{6} }{6} v_0 =\frac{\sqrt{2} }{2}v_0-29.4\\v_0(\frac{\sqrt{6}-3\sqrt{2}}{6} )=-29.4\\v_0=98.37 m/s

3 0
3 years ago
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matrenka [14]

Answer:

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