Force System Resultants

The boys A, B and C stand near the edges of a raft as shown. Determine the location (x, y) of boy D so that all four boys create a single resultant force acting through the raft's center O. Provided the raft itself is symmetric, this would keep the raft afloat in a horizontal plane. the mass of each boy is indicated in the diagram.

A:

x = 4.5 m, y = 1.5 m

B:

x = 3.0 m, y = 3.0 m

C:

x = 1.5 m, y = 4.5 m

D:

x = 3.0 m, y = 4.0 m

Answer: C

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The bricks on top of the beam and the supports at the bottom create the distributed loading shown in the second figure. Determine the required intensity w and dimension d of the right support so that the resultant force and couple moment about point A of the system are both zero.

A:

w = 175.0 N/m, d = 1.5 m

B:

w = 138.2 N/m, d = 1.9 m

C:

w = 125.0 N/m, d = 2.1 m

D:

w = 154.4 N/m, d = 1.7 m

Answer: A

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Determine the magnitude of the projection of the moment cause by the force about the aa axis.

A:

M_aa = 80.0 N-m

B:

M_aa = 56.6 N-m

C:

M_aa = 28.3 N-m

D:

M_aa = 100.0 N-m

Answer: B

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Replace the force at A by an equivalent force and couple moment at P.

A:

F = 15 kN @ = 36.9° , M_p = 67.1 kN-m

B:

F = 15 kN @ = 36.9° , M_p = 30 kN-m

C:

F = 15 kN @ = 143.1° , M_p = 67.1 kN-m

D:

F = 15 kN @ = 143.1° , M_p = 30 kN-m

Answer: A

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Determine the magnitude and direction of the moment of the force of the movement if the force at A about point P.

A:

Mp = 400 Nm

B:

Mp = 400 Nm

C:

Mp = 200 Nm

D:

Mp = 200 Nm

Answer: A

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Questions for: Force System Resultants