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kicyunya [14]
3 years ago
8

2. Consider a conical pendulum with a bob of mass m = 77.0 kg on a string of length L = 10.0 m that makes an angle of ???? 3.00°

with the vertical. (Consider +î to be towards the center of the circular path and +ĵ to be upward.) a) Determine the horizontal and vertical components of the force exerted by the string on the pendulum. b) Determine the radial acceleration of the bob.
Physics
1 answer:
bekas [8.4K]3 years ago
6 0

Explanation:

It is given that,

The mass of bob, m = 77 kg

Length of the string, L = 10 m

Angle made by the string with the vertical, \theta=3^{\circ}

(a) Let T is the force exerted by the string on the pendulum. At equilibrium,

T\ cos\theta=mg

T=\dfrac{mg}{cos\theta}

T=\dfrac{77\times 9.8}{cos(3)}

T = 755.63 N

The horizontal component of the force is given by,

T_H=T\ sin\theta

T_H=755.63\ sin(3)=39.54\ N

The vertical component of the force is given by,

T_V=T\ sin\theta=mg

T_V=754.59\ N

(b) Let a is the radial acceleration of the bob. It can be calculated as :

a=\dfrac{T_H}{m}

a=\dfrac{39.54\ N}{77\ kg}

a=0.51\ m/s^2

Hence, this is the required solution.

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Given the case the sun's intensity is 200 W/m² for an inner planet at the distance r. If an outer planet is at a distance 6r, what is the sun's intensity?

By using the inverse square law formula, the sun's intensity for an outer planet is

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