Assignment:
1. In the figure below, block-2 of mass M= 1 Kg is at rest on a frictionless surface and touching the end of an un-stretched spring whose spring constant is 200 N/m. The other end of the spring is fixed to a wall. Block-1 of mass 2 Kg, travelling at speed v1 = 4 m/s, collides with block-2 and the two blocks stick together. When the blocks momentarily stop, by what distance is the spring compressed?
2. A 1 m long rod of mass m = 0.2 Kg is hinged at one end and connected to a wall. It is held out horizontally , then released. With respect to the reference XY, whose origin is at the hinge (as shown in the figure), calculate:
The speed of the tip of the rod at the moment it hits the wall?
The kinetic energy of the rod at the moment it hits the wall?
3. A. Find the coordinates of the "Center of Mass" of the homogeneous thin plate shown in the figure.
Show all your calculations and the result.
B. Find the coordinates of the "Center of Mass" of the homogeneous thin plate shown in the figure.
Show all your calculations and the result.
4. A dictionary of mass M= 5 Kg is pushed against a vertical wall with a horizontal force of magnitude F= 200 N, so that it does not slip down the wall, as shown in the figure. The coefficient of static friction for the dictionary in contact with the wall is Ns = 0.3.
A Draw the free body diagram for the dictionary.
B Determine the magnitude of the normal force acting on the dictionary.
C Find the magnitude of the static friction force acting on the dictionary.
D If the magnitude of the force F decreases until the book is ready to slip, what is the magnitude of F when slipping is imminent?
