Answer True, False, or Cannot tell to each of the four statements below. E.g., i

Question

Answer True, False, or Cannot tell to each of the four statements below.
E.g., if the answer to the first statement is `true' and to the rest, `cannot tell', enter TCCC.

1. A square plate can rotate about an axle through its centre. One of three forces of equal magnitude can be applied to the plate, as shown. The plate will not rotate if F1 is applied

2. The solid cylinders and the cylindrical shells have the same mass, the same radius, and turn on frictionless axles. A rope is wrapped around each of them and is acted on as shown. Cylinder 2 has a larger angular acceleration than cylinder shell 3.

3. A wheel turns on a frictionless axle. A string wrapped around the rim of the wheel is connected to a mass. The mass is released at t=0 and hits the floor at t=t1. The graph shows a possible - t behaviour for this situation.

4. Of the three forces shown, F1 causes the torque with the largest magnitude. (Note: F1 = F2 < F3)

Explanation / Answer

1) T

2) T

3) F

4) F
because

T = r*F*sin(theta)

T1 = F1*r1*sin(90) = F1*r1

T2 = F2*r2*sin(30) = F1*(2*r1)*0.5 = F1*r1

T3 = r3*F3*sin(0) = 0

so, F1 and F2 produce equal magnitude of torque.

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