Answer:
Explanation:
The rotational kinetic energy when the cylinder is with the rope is:
where we used the fact that both rope and cylinder hast the same w. This E_k must conserve, that is, E_k must equal E_k when the rope leaves the cylinder. Hence, the final w is given by:
(1)
For Ic and Ir we can assume that the rope is a ring of the same radius of the cylinder. Then, we have:
Finally, by replacing in (1):
hope this helps!!
Answer:
Therefore it is save to carry a 62kg adult
Explanation:
From the question we are told that:
Mass
Height of supporting Rock
Length of Board
Mass of board
Mass of adult
Generally the moment of balance about wedge part about is mathematically given by
where
therefore
if N=0 at fallen person
Therefore it is save to carry a 62kg adult
1. Ideal Mechanical Advantage (IMA): 9
Explanation:
For a wheel and axle system like the steering wheel, the IMA is given by:
where
is the radius of the wheel
is the radius of the axle
For the steering wheel of the problem, we see that and
, so the IMA is
2. Efficiency: 88.9%
Explanation:
The efficiency of a system is defined as the ratio between the AMA (actual mechanical advantage) and the IMA:
In this problem, AMA=8 and IMA=9, so the efficiency is