(a) Explanation Consider that the centre of mass of the falling rod is very near the surface. The velocity of the end of the rod in contact with the surface is a combination of the downward motion of the centre of mass and the upward motion of the rotating end. Write the expression for velocity at the end of the rod as. v e n d = v c m − ω ( h 2 ) (I) Here, v e n d is velocity at end of rod, v c m is velocity at centre of mass, ω is angular speed and h is the length of rod. The velocity of this end relative to the surface is zero. Substitute zero for v e n d in equation (I). 0 = v c m − ω ( h 2 ) Rearrange the above equation as. v c m = ω ( h 2 ) Rearrange the above equation for angular speed as. ω = 2 v c m h The center of mass drops straight downward by h 2 distance with the rod rotating about the center of mass as it falls because there are no horizontal forces acting on the rod. So the center of mass will not move horizontally. Write the expression for conservation of energy as. K f + U f − K i − U f = 0 (II) Here, K f is final kinetic energy, U f is final potential energy, K i is initial kinetic energy and U f is final potential energy. Final potential energy and the initial kinetic energy is zero for this system. Substitute zero for U f v and zero for K i in equation (II). K f + 0 − 0 − U f = 0 Rearrange the above equation as. K f = U f (III) Final kinetic energy is the combination of rotational and translational kinetic energy (b) To determine The speed of the rod’s center of mass just before it hits the surface.

Physics for Scientists and Engineers with Modern Physics, Technology Update

9th Edition

ISBN: 9781305401969

Author: SERWAY, Raymond A.; Jewett, John W.

Publisher: Cengage Learning

See similar textbooks

Concept explainers

Center of Gravity of a system

The centre of gravity is a property that is based on the geometry of a rigid body or any particle. It is described as an equilibrium point or a hypothetical location where the total weight of the body is concentrated.

Question

Chapter 10, Problem 85AP

(a)

To determine

The speed of its center of mass just before it hits the horizontal surface.

(b)

To determine

The speed of the rod’s center of mass just before it hits the surface.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 10, Problem 84AP

Chapter 10, Problem 86AP

Students have asked these similar questions

19:39 · C Chegg 1 69% ✓ The compound beam is fixed at Ę and supported by rollers at A and B. There are pins at C and D. Take F=1700 lb. (Figure 1) Figure 800 lb ||-5- F 600 lb بتا D E C BO 10 ft 5 ft 4 ft-—— 6 ft — 5 ft- Solved Part A The compound beam is fixed at E and... Hình ảnh có thể có bản quyền. Tìm hiểu thêm Problem A-12 % Chia sẻ kip 800 lb Truy cập ) D Lưu of C 600 lb |-sa+ 10ft 5ft 4ft6ft D E 5 ft- Trying Cheaa Những kết quả này có hữu ích không? There are pins at C and D To F-1200 Egue!) Chegg Solved The compound b... Có Không ☑ ||| Chegg 10 וח

No chatgpt pls will upvote

Chapter 10 Solutions

Physics for Scientists and Engineers with Modern Physics, Technology Update

Ch. 10.1 - A rigid object rotates in a counterclockwise sense...Ch. 10.2 - Consider again the pairs of angular positions for...Ch. 10.3 - Ethan and Rebecca are riding on a merry-go-round....Ch. 10.4 - Prob. 10.4QQ Ch. 10.5 - You turn off your electric drill and find that the...Ch. 10.7 - A section of hollow pipe and a solid cylinder have...Ch. 10.9 - A ball rolls without slipping down incline A,...Ch. 10 - Prob. 1OQ Ch. 10 - Consider an object on a rotating disk a distance r...Ch. 10 - Prob. 3OQ

Ch. 10 - Prob. 4OQ Ch. 10 - Suppose a cars standard tires are replaced with...Ch. 10 - Figure OQ10.6 shows a system of four particles...Ch. 10 - Prob. 7OQ Ch. 10 - Prob. 8OQ Ch. 10 - Prob. 9OQ Ch. 10 - Prob. 10OQ Ch. 10 - A solid aluminum sphere of radius R has moment of...Ch. 10 - Prob. 1CQ Ch. 10 - Prob. 2CQ Ch. 10 - Prob. 3CQ Ch. 10 - Prob. 4CQ Ch. 10 - Prob. 5CQ Ch. 10 - Prob. 6CQ Ch. 10 - Prob. 7CQ Ch. 10 - Prob. 8CQ Ch. 10 - (a) What is the angular speed of the second hand...Ch. 10 - Prob. 10CQ Ch. 10 - Prob. 11CQ Ch. 10 - Prob. 12CQ Ch. 10 - Three objects of uniform densitya solid sphere, a...Ch. 10 - Which of the entries in Table 10.2 applies to...Ch. 10 - Prob. 15CQ Ch. 10 - Prob. 16CQ Ch. 10 - (a) Find the angular speed of the Earths rotation...Ch. 10 - Prob. 2P Ch. 10 - Prob. 3P Ch. 10 - A bar on a hinge starts from rest and rotates with...Ch. 10 - A wheel starts from rest and rotates with constant...Ch. 10 - Prob. 6P Ch. 10 - Prob. 7P Ch. 10 - A machine part rotates at an angular speed of...Ch. 10 - A dentists drill starts from rest. After 3.20 s of...Ch. 10 - Why is the following situation impossible?...Ch. 10 - Prob. 11P Ch. 10 - The tub of a washer goes into its spin cycle,...Ch. 10 - Prob. 13P Ch. 10 - Review. Consider a tall building located on the...Ch. 10 - Prob. 15P Ch. 10 - Prob. 16P Ch. 10 - A discus thrower (Fig. P10.9) accelerates a discus...Ch. 10 - Figure P10.18 shows the drive train of a bicycle...Ch. 10 - A wheel 2.00 m in diameter lies in a vertical...Ch. 10 - A car accelerates uniformly from rest and reaches...Ch. 10 - Prob. 21P Ch. 10 - Prob. 22P Ch. 10 - Prob. 23P Ch. 10 - Prob. 24P Ch. 10 - Prob. 25P Ch. 10 - Review. A small object with mass 4.00 kg moves...Ch. 10 - Find the net torque on the wheel in Figure P10.14...Ch. 10 - Prob. 28P Ch. 10 - An electric motor turns a flywheel through a drive...Ch. 10 - A grinding wheel is in the form of a uniform solid...Ch. 10 - Prob. 31P Ch. 10 - Review. A block of mass m1 = 2.00 kg and a block...Ch. 10 - Prob. 33P Ch. 10 - Prob. 34P Ch. 10 - Prob. 35P Ch. 10 - Prob. 36P Ch. 10 - A potters wheela thick stone disk of radius 0.500...Ch. 10 - Imagine that you stand tall and turn about a...Ch. 10 - Prob. 39P Ch. 10 - Two balls with masses M and m are connected by a...Ch. 10 - Prob. 41P Ch. 10 - Following the procedure used in Example 10.7,...Ch. 10 - Three identical thin rods, each of length L and...Ch. 10 - Rigid rods of negligible mass lying along the y...Ch. 10 - Prob. 45P Ch. 10 - Prob. 46P Ch. 10 - A war-wolf or trebuchet is a device used during...Ch. 10 - Prob. 48P Ch. 10 - Big Ben, the nickname for the clock in Elizabeth...Ch. 10 - Consider two objects with m1 m2 connected by a...Ch. 10 - The top in Figure P10.51 has a moment of inertia...Ch. 10 - Prob. 52P Ch. 10 - Prob. 53P Ch. 10 - Prob. 54P Ch. 10 - Review. An object with a mass of m = 5.10 kg is...Ch. 10 - This problem describes one experimental method for...Ch. 10 - A uniform solid disk of radius R and mass M is...Ch. 10 - Prob. 58P Ch. 10 - Prob. 59P Ch. 10 - Prob. 60P Ch. 10 - (a) Determine the acceleration of the center of...Ch. 10 - A smooth cube of mass m and edge length r slides...Ch. 10 - Prob. 63P Ch. 10 - A tennis ball is a hollow sphere with a thin wall....Ch. 10 - Prob. 65P Ch. 10 - Prob. 66AP Ch. 10 - Prob. 67AP Ch. 10 - Prob. 68AP Ch. 10 - Prob. 69AP Ch. 10 - Prob. 70AP Ch. 10 - Review. A mixing beater consists of three thin...Ch. 10 - Prob. 72AP Ch. 10 - Prob. 73AP Ch. 10 - Prob. 74AP Ch. 10 - Prob. 75AP Ch. 10 - Prob. 76AP Ch. 10 - Review. As shown in Figure P10.77, two blocks are...Ch. 10 - Review. A string is wound around a uniform disk of...Ch. 10 - Prob. 79AP Ch. 10 - Prob. 80AP Ch. 10 - Prob. 81AP Ch. 10 - Review. A spool of wire of mass M and radius R is...Ch. 10 - A solid sphere of mass m and radius r rolls...Ch. 10 - Prob. 84AP Ch. 10 - Prob. 85AP Ch. 10 - Review. A clown balances a small spherical grape...Ch. 10 - A plank with a mass M = 6.00 kg rests on top of...Ch. 10 - Prob. 88CP Ch. 10 - Prob. 89CP Ch. 10 - Prob. 90CP Ch. 10 - A spool of thread consists of a cylinder of radius...Ch. 10 - A cord is wrapped around a pulley that is shaped...Ch. 10 - Prob. 93CP Ch. 10 - A uniform, hollow, cylindrical spool has inside...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

The speed of its center of mass just before it hits the horizontal surface.

Solution Summary: The author compares the speed of the center of mass just before it hits the horizontal surface and the velocity of its end in contact with the surface.

Concept explainers

The speed of its center of mass just before it hits the horizontal surface.

The speed of the rod’s center of mass just before it hits the surface.

Want to see the full answer?

Chapter 10 Solutions