
2. Assume a massless rod with one 1 kg masses on each end was initially at...
Two equal masses of 3.0 kg are at the ends of a 90-cm-long massless rod. The rod spins at 7.0 rev/s about an axis through its center of mass. Suddenly, a compressed gas expands the rod out to a length of 180 cm. What is the rotation frequency after the expansion? (rev/sec is frequency)( use conservation of angular momentum.)
Q21 (15 points): A uniform rod of mass m 1.5 kg and length d- 2.0 m is supported by a pivot point P at its top and is free to rotate iın the vertical plane. A block of mass m2 0.8 kg is attached to the other end of the rod. The rod-block system is initially at rest, and a 1g bullet is fired horizontally into the rod through a point x 08 d below the pivot P Assume that...
18.1-18.4 A system of a 10-kg rod with 2-kg end masses, ma and ma, is pulled by force P as shown in the figure. The rod is initially at rest when e 0. The masses are fitted into the grooved slots so that the kinetic friction force is 10 Non each mass. The gravity acts downward P-50N (a) The work done by force Pe is varied from 0 to 40 (b) The work done by the friction as e is...
Atwood’s machine with a massive pulley and massless string: two
masses are initially at rest at the same height. After the masses
are released, the large mass m2, falls through a height
h and hits the floor, and the small mass, m1, rises
through a vertical height h. Assuming the pulley has mass M and
radius R, find the speed of the masses just before m2
lands, giving your answer in terms of m1, m2,
g, M, R, and h....
Q20 (15 points): A bullet of mass m X102 kg is moving with a speed of 100 m/s when it collides with a rod of mass mR 5 kg and length L m (shown in the figure). The rod is initially at rest, in a vertical position, and pivots about an axis going through its center of mass. The bullet imbeds itself in the rod at a distance L/4 from the pivot point. As a result, the bullet-rod system starts...
A rigid, massless rod has three particles with equal masses attached to it as shown in Figure P8.59. The rod is free to rotate in a vertical plane about a friction-less axle perpendicular to the rod through the point Pand is released from rest in the horizontal position at t - 0. Assuming m and d are known, find (a) the moment of inertia of the system (rod plus particles) about the pivot, (b) the torque acting on the system...
Two blocks of masses m_1 = 4 kg and m_2 = 5kg are connected by a massless string that passes over a massless frictionless pulley as shown in Fig. 6.34. Block m_1 is initially at rest on a smooth horizontal plane while block m_2 is at a height h = 0.75 m above the ground. Use conservation of mechanical energy to find the speed of the masses just before m_2 hits the ground.
Block A and block B are connected by a massless string over a smooth and massless pulley as shown below. The masses of block A and block B are 2 kg and 1 kg respectively The two blocks are released from rest. Ceiling Block B Block A (a) Draw two force diagrams, one for each block. (2%) (b) Calculate the acceleration of block A. (490) (c) Calculate the tension in the rope. (2%) (d) Using the conservation of energy, calculate...
3. Three masses are connected by thin rigid rods as shown below, and are initially at rest on the top of a horizontal table. A circular blob of clay (velocity shown immediately before the collision) hits and sticks to one of the masses as shown. The mass of the rod can be neglected and the object is NOT pinned down to the table 3 m 20 m/s i 40 2 kg Calculate the linear velocity of the center of mass,...
A uniform thin rod of length 0.500 m and mass 4.00 kg is attached to a pivot at one end. The other end of the rod is attached to a uniform sphere with a mass of 2.00 kg and a radius of 0.100 m. The rod and sphere initially hang vertically. A bullet with a mass of 5.00 g is fired horizontally at a speed of 200 m/s into the center of the sphere. The bullet embeds itself in the...