A) In terms of the mass of the block m, spring constant k, radius of the loop, R, and the acceleration due to gravity, g. What is the minimum compression distance (from relaxed length) of the spring if the block is to make it around the loop without leaving the track? B) After exiting the loop, the block encounters a rough surface where the coefficient of kinetic friction between the block and the rough surface is u. What is the minimum stopping distance on the rough surface needed if the block had the minimum speed to stay on the track from part a?

A) In terms of the mass of the block m, spring constant k, radius of the loop, R, and the acceleration due to gravity, g. What is the minimum compression distance (from relaxed length) of the spring if the block is to make it around the loop without leaving the track? B) After exiting the loop, the block encounters a rough surface where the coefficient of kinetic friction between the block and the rough surface is u. What is the minimum stopping distance on the rough surface needed if the block had the minimum speed to stay on the track from part a?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Forming and Shaping

Metal forming is a category of metalworking process through which the material can be given the desired shape and size by subjecting it to plastic deformation, where the component undergoes bulk deformation process upon application of loads. Unlike the shearing and machining process, the material does not undergo up to a failure point as indicated in the stress-strain curve. Hence, the stresses induced during the forming process are greater than yield strength but less than the failure strength of the material. The process does not lead to the loss of material, so it can be said to be an economical process. During forming, the material is subjected to tensile forces, compressive forces, bending, and shearing loading conditions. The material should possess the property of ductility to undergo the forming process.

Question

A block is held against a compressed string when it is released from rest. It then slides around a
vertical loop without friction. The setup is shown.
A
www
Rough
Smooth
A) In terms of the mass of the block m, spring constant k, radius of the loop, R, and the
acceleration due to gravity, g. What is the minimum compression distance (from relaxed
length) of the spring if the block is to make it around the loop without leaving the track?
B) After exiting the loop, the block encounters a rough surface where the coefficient of
kinetic friction between the block and the rough surface is µ. What is the minimum
stopping distance on the rough surface needed if the block had the minimum speed to
stay on the track from part a?

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A box of mass m is resting in the flat bed of a truck which is stopped at a red light on a road which slopes upward at an angle qabove the horizontal. The coefficients of friction between the box and the truck bed are given by μs and μk.The light turns green and the truck begins to accelerate.Write all answers in terms of variables given in the problem and any appropriate constants. 1)Find the work done by friction as the box slides to the back of the truck in terms of m, L, μk, q, and any appropriate constants.
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Problem 1. Find the horizontal force magnitude P needed to start the motion of the block with mass mo in two scenarios: (a) when P is applied to the right and (b) when P is applied to the left. Develop a general solution for each scenario, and subsequently, substitute the values 0= 25°, m = mo = 2.5 kg, μs = 0.40, and μk = 0.35 into your expressions for evaluation. Hs> Hk P (a) A mo Ө m P (b) B
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Figure 2 В A Block A is hanging from a massless string which runs over a massless and frictionless pulley and connects to Block B. Block B slides over an inclined plane with ordinary kinetic friction. The plane under block B is inclined at an angle theta = 0 away from vertical. The other side of Block B is connected to another massless string which runs over another massless and frictionless pulley to connect to Cart C. Cart C rolls without friction over a plane which is inclined at an angle of phi = y away from vertical. C