PROBLEM 6.174
A couple
M
of magnitude 1.5 kN m is applied to the crank of the engine system shown. For each of the
two positions shown, determine the force
P
required to hold the system in equilibrium.
SOLUTION
(a)
FBDs:
PROBLEM 6.174 (Continued)
(b)
FBDs:
PROBLEM 6.175
The compound-lever pruning shears shown can be
adjusted by placing pin A at various ratchet positions on
blade ACE. Knowing that 300-lb vertical forces are
required to complete the pruning of a small branch,
determine the magnitude P of the forces that must be
applied to the handles when the shears are adjusted as
shown.
SOLUTION
We note that AB is a two-force member.
()
()
0.65 in. 0.55 in.
AB y
AB x
F
F
PROBLEM 6.F1
For the frame and loading shown, draw the free-body diagram(s) needed
to determine the force in member BD and the components of the reaction
at C.
SOLUTION
We note that BD is a two-force member.
Free body:
ABC
PROBLEM 6.F2
For the frame and loading shown, draw the free-body diagram(s)
needed to determine the components of all forces acting on
member ABC.
SOLUTION
We note that BE is a two-force member.
Free body
: Frame
PROBLEM 6.F3
Draw the free-body diagram(s) needed to determine all the forces
exerted on member AI if the frame is loaded by a clockwise
couple of magnitude 1200 lb·in. applied at point D.
SOLUTION
We note that AB, BC, and FG are two-force members.
Free body
: Frame
PROBLEM 6.F3 (Continued)
PROBLEM 6.F4
Knowing that the pulley has a radius of 0.5 m, draw the
free-body diagram(s) needed to determine the components
of the reactions at A and E.
SOLUTION
Free body:
Frame
PROBLEM 6.F5
An 84-lb force is applied to the toggle vise at C. Knowing that
= 90,
draw the free-body diagram(s) needed to determine the vertical force
exerted on the block at D.
SOLUTION
We note that BD is a two-force member.
Free body:
ABC
PROBLEM 6.F6
For the system and loading shown, draw the free-body diagram(s)
needed to determine the force
P
required for equilibrium.
SOLUTION
We note that AB and BD are two-force members.
Free body:
CDE
PROBLEM 6.F7
A small barrel weighing 60 lb is lifted by a pair of tongs as shown.
Knowing that a = 5 in., draw the free-body diagram(s) needed to
determine the forces exerted at B and D on tong ABD.
SOLUTION
We note that BC is a two-force member.
Free body:
ABD
PROBLEM 6.F8
The position of member ABC is controlled by the
hydraulic cylinder CD. Knowing that θ 30°,
draw the free-body diagram(s) needed to
determine the force exerted by the hydraulic
cylinder on pin C, and the reaction at B.
SOLUTION
We note that CD is a two-force member.
Free body: ABC