Physics, 11.12.2019 02:31 Otod207

A2.00 m-long 6.00 kg ladder pivoted at the top hangs down from a platform at the circus. a 42.0 kg trapeze artist climbs to a point where her center of mass is at the center of the ladder and swings at the system's natural frequency. the angular frequency (in s −1) of the system of ladder and woman is

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Answer from: ik457

f= 0.48 s⁻¹

Explanation:

Given that

Mass of the ladder ,m= 6 kg

L= 2 m

Mass of artist ,M= 42 kg

The total moment of inertia of the both ladder and artist ,I

$I=\dfrac{mL^2}{3}+ Mr^2$

Here $r=\dfrac{L}{2}$

$I=\dfrac{mL^2}{3}+ M\dfrac{L^2}{4}$

$I=\dfrac{6\times 2^2}{3}+ 42\times \dfrac{2^2}{4}\ kg.m^2$

I=50 kg.m²

The angular frequency f given as

$f=\dfrac{1}{2\pi}\times\sqrt{ \dfrac{m_t\ g D}{I}}$

Here m_t= m +M

$D=\dfrac{L}{2}\ m$

$D=\dfrac{2}{2}\ m$

D=1 m

$f=\dfrac{1}{2\pi}\times\sqrt{ \dfrac{(42+6)\times 9.81\times 1}{50}}\ s^{-1}$

f= 0.48 s⁻¹

Answer from: Quest

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.

Answer from: Quest

the design of a ski jumping suit involves a trade-off between giving the skiers lift to get higher jumps and ensuring the skier does not face a lot of drag before the jump itself. an expansive suit may to lift the skier higher, but at the same time, it will also increase the air resistance. higher air resistance as the skier goes down the slope limits the speed of the jump. a big suit also increases the risk of losing balance or control, especially if there's a strong gust of wind. while technologically enhanced suits a lot, clothing is not the only factor in a ski jumper’s success. gathering speed while skiing down the slope, ensuring good speed on the ramp, and maintaining good body posture and form in the air all contribute to a ski jumper's success.