Indian Institute of Technology - IIT Madras
A block of mass m is attached to a spring whose spring constant is k. The other end of the spring is fixed so that when the spring is unstretched, the mass is located at x=0. . Assume that the +xdirection is to the right. The mass is now pulled to the right a distance A beyond the equilibrium position and released, at time t=0, with zero initial velocity. Assume that the vertical forces acting on the block balance each other and that the tension of the spring is, in effect, the only force affecting the motion of the block. Therefore, the system will undergo simple harmonic motion.
the system will undergo simple harmonic motion. For such a system, the equation of motion is ,
and its solution, which provides the equation for , is .
9. A block is pulled to the right across a level surface at a constant velocity by a horizontal force of 48 newtons, as shown. The weight of the block is 91 newtons. What is the coefficient of kinetic friction between the block and the surface?
10. A block has a mass of $81.0$ kilograms. The coefficient of static friction between the block and the level floor on which it rests is 0.621. A horizontal force of 398 newtons is applied to the block to the right, as shown. Will the block move?
The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure P. A cylinder contains oxygen at a temperature of 310 degrees K and a pressure of 18 atmospheres in a volume of 120 liters. Find the pressure if the volume is decreased to 105 liters and the temperature is increased to 350 degrees K.
Round your answer to two decimal places.