Mathematically speaking, forces are represented by vectors, which have magnitude and direction. Graphically speaking, vectors are represented by arrows.

3 0

3 years ago

A friction-less pulley in the shape of a solid cylinder of mass 2.90 kg and radius 30.0 cm is used to draw water from a well. A

WINSTONCH [101]

Answer:

$s=-38.332m$

Explanation:

From the question we are told that

Cylinder of mass $m=2.90 kg$

Radius $R=30.0 m$

Mass of bucket $M_b= 1.90 kg$

Fall time $T_f= 3.70 seconds$

Generally the tension the bucket is mathematically given by

$T-mg=ma$

For cylinder

$T=I*\alpha$

where

$I=1/2mR^2$

$a=R*\alpha$

Giving

$T=-1/2mR\alpha$

Therefore

$a=\frac{-mg}{m+1/2m}$

$a=\frac{-(1.9*9.81)}{1.9+0.5*(2.9)}$

$a=-5.563880597 \approx -5.6m/s^2$

Generally the Newton's equation for motion is mathematically represented as

$s=ut+1/2at^2$

$s=0(3)+1/2*-5.6*(3.7)^2$

$s=-38.332m$

8 0

3 years ago