A 300-mm cantilever beam BC with uniform cross section A-A is supporting an inclined 225-N forceacting on the top of the beam at C as shown below.YBA4A+225 N300 mm3X10 mm30 mm10 mmSection A-A2←y-10 mm30 mm(a) Show that the second moment of area about the neutral axis of the cross section A-A is given byI = 267 500 mm 4.(b) Draw and label the normal-force, shear-force and bending-moment diagrams for the beam byanalysing an appropriate free-body diagram.(c) Determine the maximum magnitude and y location of the normal stress at B (xwhether it is compressive or tensile.=0). State Consider the three masses A, B and C, respectively 1 kg, 1 kg and 5 kg, connected through the systemof pulleys as shown below. D and E are frictionless, stationary pulleys. Masses A and B are restingon an inclined surface (0 = 60°), where the coefficient of kinetic friction between the masses and thesurface is given by μ = 0.5. Gravity acts down.1 kg1 kg|ºMk = 0.5O5 kgXC(a) By analysing appropriate free-body diagrams, show that ïc ≈ 4.39 ms¯²(b) By analysing an appropriate free-body diagram, calculate the tension between masses A and B.

Given data :-Mass of A = 1kgMass of B = 1kgMass of C = 5kgPulleys are massless and…

Consider the three masses A, B and C, respectively 1 kg, 1 kg and 5 kg, connected through the system of pulleys as shown below. D and E are frictionless, stationary pulleys. Masses A and B are resting on an inclined surface (0 = 60°), where the coefficient of kinetic friction between the masses and the surface is given by k = 0.5. Gravity acts down. 1 kg 1 kg pk = 0.5 E 5 kg xC (a) By analysing appropriate free-body diagrams, show that c~ 4.39 ms-². (b) By analysing an appropriate free-body diagram, calculate the tension between masses A and B.

Consider the three masses A, B and C, respectively 1 kg, 1 kg and 5 kg, connected through the system of pulleys as shown below. D and E are frictionless, stationary pulleys. Masses A and B are resting on an inclined surface (0 = 60°), where the coefficient of kinetic friction between the masses and the surface is given by k = 0.5. Gravity acts down. 1 kg 1 kg pk = 0.5 E 5 kg xC (a) By analysing appropriate free-body diagrams, show that c~ 4.39 ms-². (b) By analysing an appropriate free-body diagram, calculate the tension between masses A and B.

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

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

Question

A 300-mm cantilever beam BC with uniform cross section A-A is supporting an inclined 225-N force
acting on the top of the beam at C as shown below.
Y
B
A4
A+
225 N
300 mm
3
X
10 mm
30 mm
10 mm
Section A-A
2←
y
-10 mm
30 mm
(a) Show that the second moment of area about the neutral axis of the cross section A-A is given by
I = 267 500 mm 4.
(b) Draw and label the normal-force, shear-force and bending-moment diagrams for the beam by
analysing an appropriate free-body diagram.
(c) Determine the maximum magnitude and y location of the normal stress at B (x
whether it is compressive or tensile.
=
0). State

Consider the three masses A, B and C, respectively 1 kg, 1 kg and 5 kg, connected through the system
of pulleys as shown below. D and E are frictionless, stationary pulleys. Masses A and B are resting
on an inclined surface (0 = 60°), where the coefficient of kinetic friction between the masses and the
surface is given by μ = 0.5. Gravity acts down.
1 kg
1 kg
|º
Mk = 0.5
O
5 kg
XC
(a) By analysing appropriate free-body diagrams, show that ïc ≈ 4.39 ms¯²
(b) By analysing an appropriate free-body diagram, calculate the tension between masses A and B.

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