A uniform spherical shell of mass M = 4.5 kg and radius R = 8.5 cm can rotate about a vertical axis on frictionless bearings, see Fig. 1. A massless cord passes around the equator of the shell, over a pulley of rotational inertia I = 3 × 10−3 kgm2 and radius r = 5 cm, and is attached to a small object of mass m = 0.6 kg. There is no friction on the pulley’s axle; the cord does not slip on the pulley.
1. What is the acceleration of the system?
2. What is the speed of the object when it has fallen 82 cm after being released from rest.

An insurance company wants to know if the average speed at which men drive cars is higher than that of women drivers. the company took a random sample of 27 cars driven by men on a highway and found the mean speed to be 72 miles per hour with a standard deviation of 2.2 miles per hour. another sample of 18 cars driven by women on the same highway gave a mean speed of 68 miles per hour with a standard deviation of 2.5 miles per hour. assume that the speeds at which all men and all women drive cars on this highway are both approximately normally distributed with unknown and unequal population standard deviations.

The respiratory system removes oxygen and water from the body. select the best answer from the choices provided t f

Rohit is trying to tune an instrument