Answer to Question #153160 in Classical Mechanics for Boris Iradukunda

Question

One end of a cord is fixed and an object of mass 1.0 kg is attached to the other end, where it swings in a section of a vertical circle of radius 1.0 m as shown in the figure. When ϑ= 37°, the speed of the object is 3.9 m/s. At this instant, the magnitudes of the radial and tangential accelerations of the object (in m/s2) are, respectively

Answer 1

Answer

We know the radial component of acceleration

$a_r=\frac{v^2}{r}=\frac{3.9^2}{1}=15.21$ m/s^2

the tangential component of acceleration gives

$a_t=g\sin\theta=9.8\times0.60$

$=5.90m/s^2$