While wandering through the wastelands of a post-apocalyptic Earth, Mad Max sees a sign at a gas station. A 15.0kg, 2.50m horizontal pole is held against a vertical wall by a bracket. A 70.0kg sign is hung 2.20m away from the wall and at the end of the rod, 2.40m from the wall, there is a cable that connects back to the wall 0.800m above the pole. a) What is the tension force in the cable, in Newtons? b) What is the magnitudes of the net force, in Newtons, provided by the wall and bracket on the pole?

The bunchberry flower has the fastest-moving parts ever seen in a plant. Initially, the stamens are held by the petals in a bent position, storing energy like a coiled spring. As the petals release, the tips of the stamens fly up and quickly release a burst of pollen. Shown are  the details of the motion. The tips of the stamens act like a catapult, flipping through a 60° angle; the times on the earlier photos show that this happens in just 0.30 ms. We can model a stamen tip as a 1.0-mm-long, 10 μg rigid rod with a 10 mg anther sac at one end and a pivot point at the opposite end. Though an oversimplification, we will model the motion by assuming the angular acceleration is constant throughout the motion. How large is the “straightening torque”? (You can omit gravitational forces from your calculation; the gravitational torque is much less than this.)A. 2.3 x 10-7 N ⋅ m       B. 3.1 x 10-7 N ⋅ mC. 2.3 x 10-5 N ⋅ m       D. 3.1 x 10-5 N ⋅ m

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You are attending a county fair with your friend from your physics class. While walking around the fairgrounds, you discover a new game of skill. A thin rod of mass M = 0.570 kg and length = 2.70 m hangs from a friction-free pivot at its upper end as shown in the figure. Pivot Incoming Velcro-covered ball Velcro m M l The front surface of the rod is covered with Velcro. You are to throw a Velcro-covered ball of mass m = 1.05 kg at the rod in an attempt to make it swing backward and rotate all the way across the top. The ball must stick to the rod at all times after striking it. If you cause the rod to rotate over the top position (that is, rotate 180° opposite of its starting position), you win a stuffed animal. Your friend volunteers to try his luck. He feels that the most torque would be applied to the rod by striking it at its lowest end. While he prepares to aim at the lowest point on the rod, you calculate how fast he must throw the ball to win the stuffed animal with this…