of length L and mass M is hanging at rest from its top edge from a ceiling hinged at that point so that it is free to rotate. Find the distance from the top of the stick where an impulse, FΔt, is applied such that there is no horizontal component to the force of the hinge on the stick. This point is called the center of percussion.

A disk slides toward a motionless stick on a frictionless surface (figure below). The disk strikes and adheres to the stick and they rotate together, pivoting around the nail. Angular momentum is conserved for this inelastic collision because the surface is frictionless and the unbalanced external force at the nail exerts no torque. Before M Nail (pivot) After (a) (b) Consider a situation where the disk has a mass of 50.6 g and an initial velocity of 32.5 m/s when it strikes the stick that is 1.2 m long and 2.06 kg at a distance of 0.100 m from the nail. a. What is the angular velocity (in rad/s) of the two after the collision? (Enter the magnitude.) 0.166 ☐ rad/s b. What is the kinetic energy (in J) before and after the collision? K before 26.68 J K after= 0.0136 c. What is the total linear momentum (in kg m/s) before and after the collision? (Enter the magnitude.) p before 1.645 p after= kg.m/s kg.m/s Enter an integer or decimal number (more..)

A gymnast with a mass of 55 kg flipped in the air and achieved a maximum angular velocity of 445 degrees/sec just before landing from the flip. a) What is the magnitude of the angular impulse in kg*m2/s exerted by the floor on the gymnast when they stuck the landing and came to a complete stop, if they had a radius of gyration of 0.75 meters throughout the landing and their initial angular velocity just as they hit the floor was equal to the maximum angular velocity of 445 degrees/sec?

A uniform plate of height 0.740 m is cut in the form of a parabolic section. The lower boundary of the plate is defined by: y= 1.100x^2 . Find the distance from the rounded tip of the plate to the center of mass.                 Needs Complete typed solution with 100 % accuracy.

An object at rest on a flat, horizontal surface explodes into two fragments, onewith mass 100g, the other 700g. The heavier fragment slides 8.2m before stopping.How far does the lighter fragment slide? Assume both have the same coefficient ofkinetic friction.

A solid cylinder of mass M = 42 kg, radiu R = 0.17 m and uniform density is pivoted or a frictionless axle coaxial with its symmetry axis. A particle of mass m = 2.2 kg and initial velocity vo = 12 m/s (perpendicula to the cylinder's axis) flies too close to the cylinder's edge, collides with the cylinder and sticks to it. Before the collision, the cylinder was not ro- tating. What is the magnitude of its angular velocity after the collision? Answer in units of rad/s.

A solid sphere of mass, M = 5.0 kg, and radius, R = 0.100 m is placed on two blocks so that it’s centre of mass lies at the origin as shown on the right.  A bullet of mass, m = 0.100 kg, and with an x coordinate of b = 0.04 m strikes the sphere from below with a vertical velocity, v = 65 m/s and embeds in the sphere coming to rest at the location (-b,0) in the diagram below.  Since there is no momentum in the horizontal direction, after the bullet hits the sphere , it will rise up to some maximum height and then fall back to its initial position on the two blocks.  While the sphere is in the air it will rotate.  What is the magnitude of the angle (in degrees) through which the sphere will rotate before it makes contact with the two blocks again?

The figure below shows a ball of mass m fastened to one end of a rod of length L and negligible mass which is free to rotate around a pivot through the other end. The ball is released from rest when the rod is horizontal as shown. At the bottom of its swing, the ball collides with a block of mass M which is at rest on a frictionless table. If the collision is completely inelastic (the ball and block stick together), find the speed of the ball and the block immediately after the collision. m pivot M

A rod of mass M = 3.25 kg and length L can rotate about a hinge at its left end and is initially at rest. A putty ball of mass m = 65 g, moving with speed v = 5.25 m/s, strikes the rod at angle θ = 51° from the normal at a distance D = 2/3 L, where L = 1.3 m, from the point of rotation and sticks to the rod after the collision. 1. What is the angular speed ωf of the system immediately after the collision, in radians per second?

Shown below is a small particle of mass 20 g that is moving at a speed of 10.0 m/s when it collides and sticks to the edge of a uniform solid cylinder. The cylinder is free to rotate about its axis through its center and is perpendicular to the page. The cylinder has a mass of 0.5 kg and a radius of 10 cm, and is initially at rest. (a) What is the angular velocity of the system after the collision? (b) How much kinetic energy is lost in the collision?