A box with its center of mass off-center as indicated by the dot is placed on an inclined plane. In which of the three orientations shown, if any, does the box tip over? ● A B ●

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Consider the objects labeled A, B, C, and D shown in the figure. IA A *1 = B Each object is composed of identical thin sticks of uniformly distributed mass 2.39 kg and length 0.303 m. What are the moments of inertia IA, IB, IC, and Ip of the objects about a rotation axis perpendicular to the screen and passing through the black dot displayed on each object? Ic = kg.m² kg.m² IB = ID= D || kg.m² kg.m²

If an astronaut on the International Space Station accidentally left a wrench in space, the wrench would burn up as it re-entered the Earth's atmosphere, long before it hit the Earth. This question is about what would happen before that. Figure 1 Before After A wrench with a mass of 0.29 kg began at rest at a distance of d1 = 4.12 x 10° meters from the center of the Earth. The wrench then began falling toward Earth. Sometime later, the wrench was at a distance of d2 = 3.98 x 10° meters from the center of the Earth. Assume that the only significant force acting on the wrench was the gravitational force exerted by the Earth. The mass of the Earth is 5.97 x 1024 kg. Newton's gravitational constant is G = 6.67 x 1011 m³/(kg s²) (the denominator is kilograms to the first power times seconds squared) Calculate the speed of the wrench in units of meters per second when it is at a distance d2 from the center of the Earth.

A uniform thin rod of mass m = 3.2 kg and length L = 1.5 m can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F1 = 6.5 N, F2 = 2.5 N, F3 = 15 N and F4 = 15 N. F2 acts a distance d = 0.14 m from the center of mass.  a. Calculate the magnitude τ4 of the torque due to force F4 in newton meters.  b. Calculate the angular acceleration α of the thin rod about its center of mass in radians per square second. Let the counter-clockwise direction be positive.

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The drawing below shows two forces acting on a rigid beam. The blue dot is the center of mass of the beam. The forces (red arrows) are equal in magnitude. Consider the net force on the beam and net torque about its center. Which of the following statements are true? Check ALL that apply. The net force is zero. The net force is not zero. The net torque is zero. O The net torque is not zero.

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A person is pushing a fully loaded 27.50 kg wheelbarrow at constant velocity along a plank that makes an angle a = 37.0° with the horizontal. The load is distributed such that the center of mass of the wheelbarrow is exactly halfway along its length L. What is the magnitude of the total force F, the person must apply so that the wheelbarrow is parallel to that plank? You may neglect the radius of the wheel in your analysis. The gravitational acceleration is g = 9.81 m/s². F =