3) A point mass is attached to one end of a beam levered against a spike which acts as the pivot. The point mass weighs 250N and the beam has a uniform mass of 10kg and is 8m long. Parts a and b Part c Fapplied 2013 6mov 1m 8m 8= 60° Scale 250 N Scale a. If a scale placed beneath the point mass reads 250N, what is the magnitude and direction for the force at the pivot point? Direction: North, 90° from x-axis 4m

International Edition---engineering Mechanics: Statics, 4th Edition
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Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.12P: A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance...
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3) A point mass is attached to one end of a beam levered against a spike which acts as the
pivot. The point mass weighs 250N and the beam has a uniform mass of 10kg and is 8m
long.
Parts a and b
Part c
Fapplied
3 of
6mov
1m
8m
Krist
0 = 60°
Scale 250 N
Scale
a. If a scale placed beneath the point mass reads 250N, what is the magnitude and
direction for the force at the pivot point?
Direction: North, 90° from x-axis
Magnitude to k* 250N = 2500 N
b. For the same scenario, how far must the pivot point be located relative to the
left edge of the beam? (Hint, both the boxes weight and the force from the scale
act at the farthest right edge of the beam.)
www.acta
0672nos onl
c. The pivot is then moved to be 6m from the left edge of the beam which now
makes a 60 angle with the floor. How much downward force would be needed at
the left-most edge of the beam to reduce the reading on the scale to zero? (Hint:
the beam is still in static eq. when the scale reads zero.)
Transcribed Image Text:3) A point mass is attached to one end of a beam levered against a spike which acts as the pivot. The point mass weighs 250N and the beam has a uniform mass of 10kg and is 8m long. Parts a and b Part c Fapplied 3 of 6mov 1m 8m Krist 0 = 60° Scale 250 N Scale a. If a scale placed beneath the point mass reads 250N, what is the magnitude and direction for the force at the pivot point? Direction: North, 90° from x-axis Magnitude to k* 250N = 2500 N b. For the same scenario, how far must the pivot point be located relative to the left edge of the beam? (Hint, both the boxes weight and the force from the scale act at the farthest right edge of the beam.) www.acta 0672nos onl c. The pivot is then moved to be 6m from the left edge of the beam which now makes a 60 angle with the floor. How much downward force would be needed at the left-most edge of the beam to reduce the reading on the scale to zero? (Hint: the beam is still in static eq. when the scale reads zero.)
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