A mass m slides without friction in Earth's gravity down the track shown in the figure;...
1. The small mass m is to slide down the large mass M without friction. The track along which the small block slides is a quarter circle with radius R. The large mass itself is free to move on a frictionless horizontal surface. Initially both masses are at rest with the small mass at the top of the quarter circle, as shown in the figure. (a) (5 Pts.) What is the initial total mechanical energy with respect to the horizontal...
A small mass m slides without friction along the looped apparatus shown in Fig. 6-39. If the object is to remain on the track, even at the top of the circle (whose radius is r), from what minimum height h must it be released? (Answer in terms of r.)
5. A particle of mass m slides without friction and starting from rest down a block of mass M in which the surface is shaped into a quadrant of a circle of radius R. The block also slides without friction on a table top. Choose two suitable generalized coordinates a) Using the Lagrange-multiplier formalism, find the equations of motion of the mass and the block and the reaction force of the block on the mass (ie. the constraint force b)...
Laws of Induction question, pls help!! 51.4 A metal wire of mass m slides without friction on two rails spaced a distance d apart, as shown in Fig. 51-4. The track lies in a vertical uniform magnetic field B (a) A constant current I flows from generator G along one rail, across the wire, and back down the other rail. Find the velocity v(t) (speed and direction) of the wire as a function of time assuming it to be at...
Block A begins at the top of the track with an initial speed. It then slides on the track without friction going down to the bottom and back up to the second platform. Finally, it collides with a stationary block, B and the two stick together and continue to slide. Block A, with mass, mA= 0.75 kg is given an initial velocity, v0= 1.3 m/s. Block A slides without friction along a track downward from a platform at height h1=...
SECTION 4 A small block slides down a frictionless track whose shape is described by y # x, d for x<0 and y-xldfor xo0. The value of dis M. measured in meters as usual 700 meters, and x and y are lue of d is M, 100 meters, and x and y are (a) Suppose the block starts from rest on the track, at 1 300meters What will the block's speed be when it reaches x 0? (b Suppose the...
A cart of mass m rolls without friction on a level surface, and is attached to a light spring of constant k, the other end of which is attached to a wall. Take the initial position of the cart, where the spring is neither extended nor compressed, to be the origin x = 0 of a coordinate system where positive x values are to the right and positive vectors point to the right. The cart is pushed to the left...
A block of mass 10kg is released from rest and slides down a frictionless track of height h 5m above a table (see figure). At the bottom of the track, where the surface is horizontal, the block strikes and sticks to a light spring with spring constant k 10k the acceleration of gravity to be 9.81 The maximum distance d the spring is compressed is
Consider the small cube of mass m in the figure. It slides down a circular path of radius R carved into a large block of mass M. M rests on a table, and both blocks move without friction (i.e. M can easily slide sideways). The blocks are initially at rest, and m starts from the top of the path. Find the velocity of m as it leaves the block. Consider the small cube of mass m in the figure. It...