Thin printout should have 6 questions Multiplechoice questio

Thin print-out should have 6 questions. Multiple-choice questions may continue on the next column or page - find all choices before answering. A system of two wheels fixed to each other is free to rotate about a frictionless axis through the common center of the wheels and perpendicular to the page. Four forces are exerted tangentially to the rims of the wheels, as shown below. What is the magnitude of the net torque on the system about the axis? tau = 2 FR tau = FR tau = 14FR tau = 5FR tau = 0 How does the net torque change whan a partner on a seesaw stands or hangs from her end instead of sitting? It depends on the mass. The net toque increases. The net torque remains the same. The net torque decreases. When you pedal a bicyde with a constant downward force, is maximum torque produced when the pedal sprocket arms are in the horizontal position. In the vertical position, or in the diagonal position? vertical position horizontal position diagonal position All torques are the same. Find the magnitude of the torque produced by a 4.8 N force applied to a door at a perpendicular distance of 0.22 m from the hinge. Answer in units of N middot m. A bucket filled with water has a mass of 51 kg and is hanging from a rope that is wound around a stationary cylinder of radius 0.046 m. If the cylinder does not rotate and the bucket hangs straight down, what is the magnitude of the torque produced by the bucket around the center of the cylinder? The acceleration of gravity is 9.81 m/s^2. Answer in units of N middot m. If the torque required to loosen a nut holding a wheel on a car is 82 N middot m, what force must be exerted at the end of a 0.23 m lug wrench to loosen the nut when the angle is 59degree? Answer in units of N.

Solution

5) Torque = force * minimum distance

F = m * g = 51 * 9.8 = 499.8 N

Torque = 499.8 * 0.046 = 28.91

= 22.99 N.m

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6) T = F d sin theta

F = T / d sin theta

= 82 / (0.23 * sin 59)

= 416 N