Rectangular Plate with a Circular Hole A thin rectangular plate of uniform areal

Question

Rectangular Plate with a Circular Hole

A thin rectangular plate of uniform areal density ? = 3.12 kg/m2 has length of 34.0 cm and width of 24.0 cm. The lower left hand corner is located at the origin, (x,y)= (0,0) and the length is along the x-axis.

There is a circular hole of radius 7.50 cm with center at (x,y) = (11.00,10.00) cm in the plate. Calculate the mass of plate.
1.99

Rectangular Plate with a Circular Hole A thin rectangular plate of uniform areal density ? = 3.12 kg/m^2 has length of 34.0 cm and width of 24.0 cm. The lower left hand corner is located at the origin, (x,y)= (0,0) and the length is along the x-axis. There is a circular hole of radius 7.50 cm with center at (x,y) = (11.00,10.00) cm in the plate. Calculate the mass of plate. 1.9910^-1 kg Calculate the x-coordinate of CM of the plate. Pretend that the circle is in the plate, but that it has negative mass ??? Previous tries for this question: 7.66, 18.38, 17.96, 17.00, 34.10, 22.04, 15.70, 21.36 Calculate the distance of the plate's CM from the origin. ???

Explanation / Answer

Mass of plate with no hole, M = 3.12 x 0.34 x 0.24 = 0.2545kg
Mass of removed disc, m? = 3.12 x ? x 0.075

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