H B A A M' D/2 Figure 5-6 5.7 A simple crane is made of two parts, "A" with mass MA, length D, height H, and distance D/2 between wheels of radius r; and part "B," a uniform rod or boom of length L and mass MB. The crane is shown assembled in Fig. 5-6, with the pivot point P at midpoint of top of A. The center of gravity of A is midway between the wheels. (a) With the rod or boom B set at angle with the horizontal, what is the maximum mass Mmax that the crane can lift without tipping over? (b) If there is a mass M' = (4/5) Mmax at the end of the rope, what is the minimum time t necessary to raise this load M' a distance (L sin) from the ground? (The angle remains fixed, and the mass of the rope may be 0 neglected.)

H B A A M' D/2 Figure 5-6 5.7 A simple crane is made of two parts, "A" with mass MA, length D, height H, and distance D/2 between wheels of radius r; and part "B," a uniform rod or boom of length L and mass MB. The crane is shown assembled in Fig. 5-6, with the pivot point P at midpoint of top of A. The center of gravity of A is midway between the wheels. (a) With the rod or boom B set at angle with the horizontal, what is the maximum mass Mmax that the crane can lift without tipping over? (b) If there is a mass M' = (4/5) Mmax at the end of the rope, what is the minimum time t necessary to raise this load M' a distance (L sin) from the ground? (The angle remains fixed, and the mass of the rope may be 0 neglected.)

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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H
D/2
8
A
Figure 5-6.
M'
5.7 A simple crane is made of two parts, "A" with mass MA, length D, height H,
and distance D/2 between wheels of radius r; and part "B," a uniform rod or
boom of length L and mass MB. The crane is shown assembled in Fig. 5-6, with
the pivot point P at midpoint of top of A. The center of gravity of A is midway
between the wheels.
(a) With the rod or boom B set at angle with the horizontal, what is the
maximum mass Mmax that the crane can lift without tipping over?
(b) If there is a mass M' = (4/5) Mmax at the end of the rope, what is the
minimum time t necessary to raise this load M' a distance (L sin) from
the ground? (The angle remains fixed, and the mass of the rope may be
neglected.)

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