A block of mass m slides without friction along the looped track shown in the Figure below. The radius of the loop is r. What is the minimum height h the block must be released from so that it completes the loop? Hint: The block is undergoing circular motion while it is on the loop. Recall that Fnet.c = m v² /r. You will need to draw a free-body diagram of the block at the top of the loop and you will need to find the minimum speed the block needs to have at the top of the loop so that it can complete the loop. Answer: h = 2.5 r

A block of mass m slides without friction along the looped track shown in the Figure below. The radius of the loop is r. What is the minimum height h the block must be released from so that it completes the loop? Hint: The block is undergoing circular motion while it is on the loop. Recall that Fnet.c = m v² /r. You will need to draw a free-body diagram of the block at the top of the loop and you will need to find the minimum speed the block needs to have at the top of the loop so that it can complete the loop. Answer: h = 2.5 r

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

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KE = mv², Ug = mgh, U₁ = kx², E = KE + U₁ + Us, E₁ = Ef,
Ug
Wfric = Ffried, Ffric= MkN, E-Wfric = Ef

Problem 2:
A block of mass m slides without friction along the looped track shown in the Figure below. The
radius of the loop is r. What is the minimum height h the block must be released from so that it
completes the loop? Hint: The block is undergoing circular motion while it is on the loop. Recall
that Fnet,c = m v² /r. You will need to draw a free-body diagram of the block at the top of the
loop and you will need to find the minimum speed the block needs to have at the top of the
loop so that it can complete the loop. Answer: h = 2.5 r
h

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