Questions 7-9 A cylinder of mass M is free to slide on a frictionless horizontal shaft...
Questions 7-9 A cylinder of mass M is free to slide on a frictionless horizontal shaft passing through its axis. A ball of mass m is attached to the cylinder by a massiess of length (. Initially, both the cylinder and the ball are at rest, with the center of the cylinder at a perpendicular distance zo from the v-axis, and the ball displaced by an angle θ-π/2 to the right relative to the vertical. Use the coordinate system indicated...
Questions 7-9 A cylinder of mass M is free to slide on a frictionless horizontal shaft passing through its axis. A ball of mass m is attached to the cylinder by a massiess string of length . Initially, both the cylinder and the ball are at rest, with the d center of the cylinder at a perpendicular distance zo from the y-axis, and the ball displaced by an angle 8 /2 to the right relative to the vertical. Use the...
A 7 g bullet is fired at 470.4 m/s into a solid cylinder of mass 15.6 kg and a radius 0.49 m. The cylinder is initially at rest and is mounted on fixed vertical axis that runs through it's center of mass. The line of motion of the bullet is perpendicular to the axle and at a distance 5.1 cm from the center. What is the initial angular momentum of the system?
A 14 g bullet is fired at 436.9 m/s into a solid cylinder of mass 26.5 kg and a radius 0.28 m. The cylinder is initially at rest and is mounted on fixed vertical axis that runs through it's center of mass. The line of motion of the bullet is perpendicular to the axle and at a distance 8.3 cm from the center. What is the initial angular momentum of the system? Find the angular velocity of the system after...
Ballistic Cylinder A 0.17-kg bullet is fired with a velocity of 85.9 m/s into a solid cylinder of mass 10.1 kg and radius 0.31 m. The cylinder is initially at rest and is mounted on a fixed vertical axis that runs through its center of mass. The line of motion of the bullet is perpendicular to the axis and at a distance d 0.0059 m from the center. Find the angular speed of the system after the bullet strikes and...
A homogeneous cylinder with mass m_1 = 1000 kg and radius R = 0.05 m is suspended in a frictionless bearing through the center axis of the cylinder marked with A (see figure). The cylinder is in a vertical plane and the axis is horizontal. A rifle ball with the mass m_2 = 0.01 kg and the horizontal speed v vector are pushed into the cylinder and drill very fast to the edge as shown in the figure. Just after...
Frictionless plane M 1.) Consider the coupled system shown at the right. The mass M is free to slide on a frictionless surface and is connected to the wall with a spring of spring constant k. Mass M2 is 2000 attached to My with taut rope of length (it acts as a pendulum). The vertical line shows the equilibrium position when the spring is un- stretched (r = 0). The coordinates 21 and 12 denote the positions of the two...
BRUN CAPUT RRRRRR BBBBB axis ORD cylinder A 5 g bullet is fired at 451.2 m/s into a solid cylinder of mass 27.2 kg and a radius 0.34 m. The cylinder is initially at rest and is mounted on fixed vertical axis that runs through it's center of mass. The line of motion of the bullet is perpendicular to the axle and at a distance 5.4 cm from the center. What is the initial angular momentum of the system? 1.22...
A small bead of mass m is free to slide along a long, thin, frictionless rod, which spins in a horizontal plane abut one end at a frequency of f (i.e., f revolutions per second). Show that the displacement of the bead from the center of rotation as a function of time t is given by r(t) = A exp(ct) + B exp(–Ct). Find the expression for the constant C. Also, how would you determine A and B?
2. A uniform, solid cylinder with mass M and radius 2R is on an incline plane with angle of inclination of 6. A string is attached by a yoke to a frictionless axle through the center of the cylinder so that the cylinder can rotate about the axle. The string runs over a disk-shaped pulley with mass M and radius R that is mounted on a frictionless axle through its center. A block of mass M is suspended from the...