A block of mass M = 539.0 g sits on a horizontal tabletop. The coefficients of static and kinetic friction are 0.549 and 0.391, respectively, at the contact surface between table and block. The block is pushed on with a 13.6 N external force at an angle \theta with the horizontal. a) What angle with respect to the horizontal will

A block of mass M = 539.0 g sits on a horizontal tabletop. The coefficients of static and kinetic friction are 0.549 and 0.391, respectively, at the contact surface between table and block. The block is pushed on with a 13.6 N external force at an angle \theta with the horizontal. a) What angle with respect to the horizontal will

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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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 of mass M = 539.0 g sits on a horizontal tabletop. The
coefficients of static and kinetic friction are 0.549 and 0.391,
respectively, at the contact surface between table and block. The
block is pushed on with a 13.6 N external force at an angle \theta
with the horizontal. a) What angle with respect to the horizontal will
lead to the maximum acceleration in horizontal direction of the block
for a given pushing force? (Give your answer in degrees and use the
unit "deg") b) What is the value of this maximum horizontal
acceleration?

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