Question

I need help finishing my lab!! I don’t understand anything.

Physics 2425 MOMENT OF INERTIA (d) Combine the three equations above to develop an expression that would allow you to predict the hanging object's downward acceleration by knowing its mass m, the radius of the hub r, the moment of inertia of the system I, and the free-fall acceleration g As always, show your work. T-Ia 2. Measuring Acceleration Use the kinematic formulas for linear motion of constant acceleration to develop a formula that would allow you to determine the acceleration of an object given the time t it takes to hit the floor from a height h not assume the object is in free-fall. As always, show your work. att =?at? au - Lh 0.003 ata, Analysis, and Calculations Disk Mass M (kg) Disk Radius R (m) Hub Mass m (kg) Hub Radius r (m) Hanging Mass ms (kg) 0991 0.1250m 0.991 0.005 0.250 Height of Block Distance to Center Sitting Block MassLength of Block Width of Block w (m MB (kg) l (m) of Block, d (m) 9-5

Answer 1

Considering the equations, calculating objects downwards acceleration by knowing its mass, radius and inertia. Therefore we know that torque = I alpha alpha = a/r Rightarrow I times a = I times r a = m + I/r^2/mg Then using kinematic formula for linear motion of acceleration y = y_0 + V_0 t + 1/2 at^2 y = 1/2 at^2 Rightarrow a = 2y/t^2 = 2h/t^2 acceleration = 2h/t^2 \r\n we are given, Disk mas = 0.991 kg Disk radius = 0.125 m Hub mass = 0.005 kg Hub radius = 0.035 m Hanging mass = 0.250 kg block mass = 0.51 kg length of block = 0.05 m width of block = 0.04 m Height of block = 0.03m we are also given initial heights for systems. Moment of inertia of disk = mr^2 = 0.991 times (0.125)^2 = 0.01548 kg m^2 Moment of Inertia of disk point mass = = mr^2 + Mr^2