m2a)In the situation illustrated above the massm₁ is at rest initially. Show that themaximum possible value of the mass m₂for which my will not slip down the slopeis given by m = m₁ (μs cos 0 - sin 0). For a particular case, m₁ = 25 kg, 0 = 15°,Ms = 0.32 and μk = 0.16, where μk is thecoefficient of kinetic friction between themass m₁ and the slope.b)Calculate the acceleration of mass m₁parallel to the slope when m₂ = 0.63 kg.c)Calculate the acceleration of mass m₁2.9 kg.parallel to the slope when m₂ =

(a) To show:- m2=m1μscosθ-sinθ

In the situation illustrated above the mass m₁ is at rest initially. Show that the maximum possible value of the mass m2 for which m₁ will not slip down the slope is given by m = m₁ (μ, cos sin 0).

In the situation illustrated above the mass m₁ is at rest initially. Show that the maximum possible value of the mass m2 for which m₁ will not slip down the slope is given by m = m₁ (μ, cos sin 0).

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Graphical Methods

The graphical method is a method of solving equations involving more than one variable using the Cartesian coordinate system. In civil engineering, the use of the graphical method is limited to the problems involving two variables. The graphical method has a great impact in solving the questions regarding engineering mechanics.

Question

m2
a)
In the situation illustrated above the mass
m₁ is at rest initially. Show that the
maximum possible value of the mass m₂
for which my will not slip down the slope
is given by m = m₁ (μs cos 0 - sin 0).

For a particular case, m₁ = 25 kg, 0 = 15°,
Ms = 0.32 and μk = 0.16, where μk is the
coefficient of kinetic friction between the
mass m₁ and the slope.
b)
Calculate the acceleration of mass m₁
parallel to the slope when m₂ = 0.63 kg.
c)
Calculate the acceleration of mass m₁
2.9 kg.
parallel to the slope when m₂ =

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