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 The largest allowable acceleration a₁ is mmmmmm m/s2 and the largest allowable deceleration a2 is m/s².
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 The largest allowable acceleration a₁ is mmmmmm m/s2 and the largest allowable deceleration a2 is m/s².
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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
C
aj
8
The largest allowable acceleration a₁ is
m/s and the largest allowable deceleration a2 is
1 m/s²
Expert Solution
Step 1
Friction Force:
It can be defined as the resistive force that acts between the surfaces of two objects which are in contact and which move relative to each other. It is given as,
where is the normal force and is the coefficient of friction.
The direction of the friction force is always opposite to the direction of the relative motion of the object with respect to the surface.
Newton's Second Law: According to this law, the net force acting on an object of constant mass is equal to the product of its mass with its net acceleration.
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