To transport a series of bundles of shingles A to a roof, a contractor uses a motor-driven lift consisting of a horizontal platform BC which rides on rails attached to the sides of a ladder. The lift starts from rest and initially moves with a constant acceleration a₁ as shown. The lift then decelerates at a constant rate a2 and comes to rest at D, near the top of the ladder. Knowing that 8 = 57° and that the coefficient of static friction between a bundle of shingles and the horizontal platform is 0.30, determine the largest allowable acceleration a₁ and the largest allowable deceleration a2 if the bundle is not to slide on the platform.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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To transport a series of bundles of shingles A to a roof, a contractor uses a motor-driven lift consisting of a horizontal platform BC
which rides on rails attached to the sides of a ladder. The lift starts from rest and initially moves with a constant acceleration a₁ as
shown. The lift then decelerates at a constant rate a2 and comes to rest at D, near the top of the ladder. Knowing that 0 = 57° and
that the coefficient of static friction between a bundle of shingles and the horizontal platform is 0.30, determine the largest
allowable acceleration a₁ and the largest allowable deceleration a2 if the bundle is not to slide on the platform.
4.4 m
0.8 m
B
Ө
The largest allowable acceleration a₁ is
A
m/s²
and the largest allowable deceleration a2 ism/s².
Transcribed Image Text:To transport a series of bundles of shingles A to a roof, a contractor uses a motor-driven lift consisting of a horizontal platform BC which rides on rails attached to the sides of a ladder. The lift starts from rest and initially moves with a constant acceleration a₁ as shown. The lift then decelerates at a constant rate a2 and comes to rest at D, near the top of the ladder. Knowing that 0 = 57° and that the coefficient of static friction between a bundle of shingles and the horizontal platform is 0.30, determine the largest allowable acceleration a₁ and the largest allowable deceleration a2 if the bundle is not to slide on the platform. 4.4 m 0.8 m B Ө The largest allowable acceleration a₁ is A m/s² and the largest allowable deceleration a2 ism/s².
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