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 a¡ as shown. The lift then decelerates at a constant rate a, and comes to rest at D, near the of the ladder. Knowing that the coefficient of static friction top between a bundle of shingles and the horizontal platform is 0.30, determine the largest allowable acceleration aj and the largest allow- able deceleration ag if the bundle is not to slide on the platform. D 4.4 m aj 65 A В 0.8 m 11

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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 aj as shown. The
lift then decelerates at a constant rate a, and comes to rest at D, near
the top of the ladder. Knowing that the coefficient of static friction
between a bundle of shingles and the horizontal platform is 0.30,
determine the largest allowable acceleration aj and the largest allow-
able deceleration a, if the bundle is not to slide on the platform.
D
4.4 m
aj
65°
A
B'
0.8 m
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 aj as shown. The lift then decelerates at a constant rate a, and comes to rest at D, near the top of the ladder. Knowing that the coefficient of static friction between a bundle of shingles and the horizontal platform is 0.30, determine the largest allowable acceleration aj and the largest allow- able deceleration a, if the bundle is not to slide on the platform. D 4.4 m aj 65° A B' 0.8 m
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