A simple pendulum of mass m and length l moves in a viscous medium of resistant force 2m/glė Calculate 0 (t) with the initial conditions 0 (0) Oo, è (0) = 0 0(t) = 0.(1+wnt)e¯wnt ans.

no handwritten answers... answer a, b and c...

Consider the figure above, where a rigid beam of negligible mass and 10 m long is supported by a cable attached to a spring.  When NO block is hung from the beam, the length L (cable-spring) is equal to 5 m.  Assume that immediately after block (weight of 260 N) is hung at the end of the beam the spring  does not stretch, calculate the tension under this assumption.  Using this tension find how much the spring stretches.  Express the amount the spring is stretched in cm.  k =8275 N/m.

A mass m = 0.851 kg cart standing over a horizontal air track is attached to a string as it is shown in the figure. The string passes over a pulley of mass M=1.45 kg and radrus R= 40.4 cm (I=1/2 MR-) and is pulled with a constant force F, as shown in the figure. If the air passing through the track is turned off, wwhat is the magnitude of the constant force F that will accelerate the cart to an acceleration a 3.64 m/s-? The static and kinetic friction between the cart and the air-track are u, = 0.75 and 0.4 respectively (q715) aant a) 09.07 N b) 05.74 N c) O3.44 N d) O8.1 N