You and a friend go outside on a cold winter’s morning and see that the front tire of your bike looks flat. You think that your tire has a hole. Your friend thinks that it might be the cold temperature. Describe how you will decide who it correct and explain this will work

You and a friend go outside on a cold winter’s morning and see that the front tire of your bike looks flat. You think that your tire has a hole. Your friend thinks that it might be the cold temperature. Describe how you will decide who it correct and explain this will work

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Fluid Mechanics

Section: Chapter Questions

Problem 9CQ

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4. For this problem, you are free to use a table for moments of intertia in your calculation. For this problem, please reference the image below. You are working in your machine shop in Kalamazoo, MI, where you construct the item in the image below. It consists of a tungsten disk of mass 2.4 kg and radius 50 cm. Mounted on this disk is a silicon carbide ring of mass 1.2 kg. This ring has an inner radius 20 cm and outer radius 30 cm. The disk rotates about an axis through it’s center at a rate of 12 rev/s (a) What is the moment of inertia of this system? (b) What is the rotational kinetic energy of this system? axis 50 cm 30 cm 20 cm
You have been warned to set up a ladder with its base about 1/4 of its length from the wall. However, since there are some things stored next to the wall you decide to ignore the advice and set the base of the ladder out half its length from the wall instead. The ladder is sitting on slippery old snow but It still feels safe when you start up to clear your gutters after a week of storms. After you climb on you have added your weight to the ladder. Which of these is a likely result? You go about halfway up, the bottom starts to slip away from the wall as you lean forward to hold on, the ladder rotates faster and falls down completely. You go up one rung and the base slips away from the wall. Nothing happens. It cannot slip once you are on it because your weight increases the friction. It slips a little when you first get on, so a friend adds weight to the base. Once you are near the top it is very stable and cannot slip.
30 kg Fig. P12.11 and P12.12
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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 = 0.500 kg and length = 2.00 m hangs from a friction-free pivot at its upper end as shown in Figure P11.43. The front surface of the rod is covered with Velcro. You are to throw a Velcro-covered ball of mass m = 1.0 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, 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 technique. Figure P11.43
Review. While Lost-a-Lot ponders his next move in the situation described in Problem 11 and illustrated in Figure P12.11, the enemy attacks! An incoming projectile breaks off the stone ledge so that the end of the drawbridge can be lowered past the wall where it usually rests. In addition, a fragment of the projectile bounces up and cuts the drawbridge cable! The hinge between the castle wall and the bridge is frictionless, and the bridge swings down freely until it is vertical and smacks into the vertical castle wall below the castle entrance. (a) How long does Lost-a-Lot stay in contact with the bridge while it swings downward? (b) Find the angular acceleration of the bridge just as it starts to move. (c) Find the angular speed of the bridge when it strikes the wall below the hinge. Find the force exerted by the hinge on the bridge (d) immediately after the cable breaks and (e) immediately before it strikes the castle wall.
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Your brother is opening a skateboard shop. He has created a sign for his shop made from a uniform material and in the shape shown in Figure P12.5. The shape of the sign represents one of the hills in the skateboard park he plans on building on land adjacent to the shop. The curve on the top of the sign is described by the function y = (x 3)2/9. When the sign arrives in his shop, your brother wants to hang it from a single wire outside the shop. But he doesnt know where on the sign to attach the wire so that the bottom edge of the sign will hang in a horizontal orientation. He asks for your help. Figure P12.5