65.0⁰

Consider a rotating disk of radius R that has the exotic property that it can change its massper unit area as a function of r. Initially, its mass per unit area is given by ar3, where a is aconstant. What is the moment of inertia of this disk expressed in terms of its mass, M andradius R.

1 S X₁ X₂ E I TLL s F A person is pulling a rope and this results in a force ♬ that acts on their hand at point H, at an angle of 63 deg above the horizontal. Determine: The magnitude and direction of the moment about the shoulder (point S), in terms of F a) b) The magnitude and direction of the moment about the elbow (point E), in terms of F H V E E

The moment of inertia of the slab having mass m and length I about an axis passing through the center of mass (com) is Icom What is the moment of inertia about the axis of rotation shown in the fig? [4 minutes] 1/3 com 1/4 Axis of rotation Select one: mi O 1=com + com 16 com 3.

Two mass are connected to cach with a rope which passes over a frictionless pulley having a radius of 30.0 cm and an unknown moment of inertia. Mass 1 hangs over the edge of the table and mass 2 slides on top of the table. The coefficient of friction between the top of the table and mass 2 is 0.250. When the system is released from rest the system accelerates at 3.00 m/s?. Mass 1 = 60 kg and Mass 2 = 40 kg. What is the tension in the string which is connected to mass 1? 328 N 528 N O 120 N 98.0 N 180 N O 980 N 408 N 588 N

A spool of thread consists of a smaller cylinder of radiusR/2 in the middle and two discs of radius R fixed to its two ends.The thread is wound on the cylinder. The spool of mass m isplaced on a horizontal table, then the end of the thread is pulledin a direction shown in the figure.a) What is the angle α between the thread and the vertical ifthe center of the spool does not move neither to the left nor to theright? (Assume that the spool does not slip.)b) What is the coefficient of static friction between the spool and the table if the spool slipswhen the pulling force reaches a certain value F0?