A wheel is pivoted at its center. It has a radius R and mass…
A wheel is pivoted at its center. It has a radius R and mass M. A piece of clay of mass m and speed v is about to strike it at the bottom edge, tangentially, as shown, and sticks to it. What is the angular velocity of the system right after the collision?
Read DetailsA ball is launched from the top of a building that is 20 met…
A ball is launched from the top of a building that is 20 meters tall with an initial speed v0= 30 m/s{“version”:”1.1″,”math”:”v0= 30 m/s”} and at a non-zero angle θ{“version”:”1.1″,”math”:”θ”} below the horizontal. If y=0 at the ground, what is the correct equation for y as a function of time?
Read DetailsIf you know two vectors’ components, A → = ( A x , A…
If you know two vectors’ components, A → = ( A x , A y , A z ) , and B → = ( B x , B y , B z ) , {“version”:”1.1″,”math”:”\vec{A}=(A_x,A_y,A_z), \mbox{ and } \vec{B}=(B_x,B_y,B_z), “}how can you determine whether these vectors are perpendicular to each other?
Read DetailsPlease draw the standard xy coordinate system on a paper she…
Please draw the standard xy coordinate system on a paper sheet. This paper sheet lies on a table. A little alien visits from outer space, takes out a little bicycle, and rides on the sheet along the x-axis in its positive direction at constant velocity. What is the direction of the angular momentum of a bicycle wheel?
Read DetailsA body of mass 10 kg is initially at rest on a horizontal su…
A body of mass 10 kg is initially at rest on a horizontal surface. The coefficient of static friction between the body and the surface is 0.7, and the coefficient of kinetic friction is 0.4. A horizontal force 50 N is applied to the body. What is the friction force acting on the body?
Read DetailsAn object is displaced by r → = ( 5 m ) i ^ − ( 2…
An object is displaced by r → = ( 5 m ) i ^ − ( 2 m ) j ^ {“version”:”1.1″,”math”:”\vec{r}=(5\,m)\hat{i}-(2\,m)\hat{j}”} while it is acted upon by F → = − ( 8 N ) i ^ + ( 22 N ) j ^ . {“version”:”1.1″,”math”:”\vec{F}=-(8\, N)\hat{i}+(22\,N)\hat{j}.”}What is the work done on the object by this force?
Read DetailsOne end of a string is tied to a wall, with a length L = 1.1…
One end of a string is tied to a wall, with a length L = 1.1 m from the wall to the point where the string touches a pulley. The other end passes over the frictionless pulley and is connected to a block of mass m = 0.35 kg. When the string is stretched over the pulley, its linear mass density is 4.40 × 10-4 kg/m. What is the wavelength of the third mode of standing wave on this string?
Read DetailsA solid disk is mounted so it can rotate without friction ab…
A solid disk is mounted so it can rotate without friction about an axis through its center. Initially, it rotates with some angular velocity ω0{“version”:”1.1″,”math”:”ω0″}. A second disk, initially not rotating, is dropped concentrically onto the disk. The second disk has the same mass and half the radius of the first disk. When the two come to a common rotation, what is the final angular velocity?
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