Homework Statement
A physical pendulum is made of a uniform disk of mass M and radius R suspended from a rod of negligible mass. The distance from the pivot to the center of the disk is l. What value of l makes the period a minimum?
Homework Equations
The Attempt at a Solution
Homework Statement
A wheel is attached to a fixed shaft, and the system is free to rotate without friction. To measure the moment of inertia of the wheel-shaft system, a tape of negligible mass wrapped around the shaft is pulled with a known constant force F. When a length L of tape has...
1. Homework Statement
A ring of mass M and radius R lies on its side on a frictionless table. It is pivoted to the table at its rim. A bug of mass m walks around the ring with speed v, starting at the pivot. What is the rotational velocity of the ring when the bug (a) is halfway around and...
Homework Statement
A particle moves in a plane with constant radial r=4m/s. The angular velocity is constant and has magnitude \Theta=2rad/s. When the particle is 3m from the origin, find the magnitude of the velocity and the acceleration.
Homework Equations
The Attempt at a...
Homework Statement
A=(i+j-k) B=(2i-j+3k)
Need to find vector perpenducilar to them
Homework Equations
The Attempt at a Solution
I've solved by finding A*B and then divided it to (A*B), the result was W=2i/\sqrt{38}-5j/\sqrt{38}-3k/\sqrt{38}. Is it correct?
Homework Statement
Let A be an arbitrary vector and let n be a unit vector in some fixed direction. Show that A=(A.n).n+(A*n)*n
Homework Equations
The Attempt at a Solution
I know that (A.n).n gives component of arbitrary vector, assume that it equals to Ax
Homework Statement
Consider two points located at r1 and r2, separated by distance r=(r1-r2). Find a vector A from the origin to a point on the line between
r1 and r2 at distance xr from the point at r1, where x is some number
Homework Equations
The Attempt at a Solution
I have no...