How Does Angular Acceleration Affect Block Movement on a Rotating Plate?

[r1luher0]

sorry someone can help me with this problem about the revolutions of the plate??



thanks!



A small block B rotates with the horizontal plate A in Fig. the
distance between the block and the axis of rotation is r = 100 mm, the
angular acceleration of the plate is α = 2 rad/s2 = constant and
the initial angular velocity is zero. calculate and graph.



a)
the magnitude of the acceleration AB block as a function of rotation
angle θ for the first two revolutions of the plate.



b)
the φ angle formed by the acceleration of the block AB with OB radius
as a function of rotation angle θ for the first two revolutions of
the plate.

 

[jbsteele]

For the solution to these questions, you need to use Newton's second law of motion. The magnitude of the acceleration of the block AB can be calculated using the equation: a = α * r, where a is the magnitude of the acceleration, α is the angular acceleration of the plate and r is the distance between the block and the axis of rotation. Then, you can find the angle formed by the acceleration of the block AB with OB radius using the equation: φ = tan-1(a/r). By plugging in the values of the variables, you can calculate and graph the magnitude of the acceleration and the angle formed by the acceleration of the block AB with OB radius as functions of the rotation angle θ for the first two revolutions of the plate.