A copper cube measures 6.00 cm on each side. The bottom face is held in place by very strong glue to a flat horizontal surface, while a horizontal force F is applied to the upper face parallel to one of the edges. (Consult Table 11.1.) (a) Show that the glue exerts a force F on the bottom face that is equal in magnitude but opposite to the force on the top face. (b) How large must F be to cause the cube to deform by 0.250 mm? (c) If the same experiment were performed on a lead cube of the same size as the copper one, by what distance would it deform for the same force as in part (b)?
A copper cube measures 6.00 cm on each side. The bottom face is held in place by very strong glue to a flat horizontal surface, while a horizontal force F is applied to the upper face parallel to one of the edges. (Consult Table 11.1.) (a) Show that the glue exerts a force F on the bottom face that is equal in magnitude but opposite to the force on the top face. (b) How large must F be to cause the cube to deform by 0.250 mm? (c) If the same experiment were performed on a lead cube of the same size as the copper one, by what distance would it deform for the same force as in part (b)?
A copper cube measures 6.00 cm on each side. The bottom face is held in place by very strong glue to a flat horizontal surface, while a horizontal force F is applied to the upper face parallel to one of the edges. (Consult Table 11.1.) (a) Show that the glue exerts a force F on the bottom face that is equal in magnitude but opposite to the force on the top face. (b) How large must F be to cause the cube to deform by 0.250 mm? (c) If the same experiment were performed on a lead cube of the same size as the copper one, by what distance would it deform for the same force as in part (b)?
The light boom AB is attached to a vertical wall by a ball
and socket joint at A and supported by two cables at B. A
force P is applied at B where P = 20i - 9j kN.Note that the
reaction force at A acts along the boom because it is a
two-force member. Calculate the magnitude of the
reaction force at A in kN.
2 m
4 m
6 m
B
y
A
3 m
6 m
(2 m
A uniform rod is attached to a wall by a hinge at its base. The rod has a mass of 8.5 kg, a length of 1.8 m, is at an angle of 21° above the horizontal, and is held in place by a horizontal
cord attached to the other end of the rod and bolted to the wall above the base of the rod.
(a) Determine the tension in the cord.
(b) Determine the horizontal and vertical components of the force exerted on the rod by the hinge.
FH
%3D
Fv =
%3D
As part of an engineering design, a load of mass M2=10 kg is to be suspended from
the far end of a beam of mass M1=8kg. A horizontal cable supporting the beam
attaches to the beam at a distance of d=2m from a joint/hinge. The length of the
beam is L=7m. The beam makes an angle of 55 degrees with the horizontal.
M,
2
a. What magnitude of force should the cable be able to withstand in this setup?
b. What magnitude of force should the joint/hinge be able to withstand in this setup?
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