please show all work so i can follow along and learn. Thank you so much! Consider the system shown below. Each horizontal rod has a linear mass density of 1 kg per meter, and each vertical rod has a negligible mass. a. What mass for object A will balance the A-B system? What mass for object C will balance the whole system? b. Use the additive nature of moment of inertia and the parallel axis theorem to calculate the total...
In the figure, two blocks, of mass m1 = 308 g and m2 = 378 g, are connected by a massless cord that is wrapped around a uniform disk of mass M = 513 g and radius R = 11.1 cm. The disk can rotate without friction about a fixed horizontal axis through its center; the cord cannot slip on the disk. The system is released from rest. Find (a) the magnitude of the acceleration of the blocks, (b) the...
In the figure, two blocks, of mass m1 = 376 g and m2 = 639 g, are connected by a massless cord that is wrapped around a uniform disk of mass M = 534 g and radius R = 11.9 cm. The disk can rotate without friction about a fixed horizontal axis through its center; the cord cannot slip on the disk. The system is released from rest. Find (a) the magnitude of the acceleration of the blocks, (b) the...
The two pendulums shown have 14 kg balls supported by rigid mass-less rods. The pendulums rotate on frictionless pivots in the same vertical plane In a circular path of radius 2 meters and collide. If each is at rest and oriented at theta = 38 degrees then released simultaneously, determine the Impulse of the collision in kg-m/s if the coefficient of restitution - 0.6. DO NOT ENTER SIGNS OR UNITS!!
Two blocks are connected by a wire that has a mass per unit length of 25.9 x 10-4 kg/m. One block has a mass of 25.9 kg, while the other has a mass of 45.9 kg. These blocks are being pulled across a horizontal frictionless floor by a horizontal force P that is applied to the less massive block. A transverse wave travels on the wire between the blocks with a speed of 451 m/s (relative to the wire). The...
In the figure, two blocks, of mass m_1 = 323 g and m_2 = 490 g, are connected by a massless cord that is wrapped around a uniform disk of mass M = 431 g and radius R = 11.5 cm. The disk can rotate without friction about a fixed horizontal axis through its center; the cord cannot slip on the disk. The system is released from rest. Find (a) the magnitude of the acceleration of the blocks, (b) the...
Block A has a mass of 2.87 kg and block B has mass 1.98 kg. Block B is at the height ℎ = 1.50 m when the blocks are released from rest. Determine the speed of block B just before it bumps into the ground: (a) if block A slides frictionlessly along its horizontal planet; and (b) if the sliding friction number between block A and the ground is 0.18. (Assume that the string and pulley have negligible masses and...
In the figure, two blocks, of mass m1 376 g and m2-558 g, are connected by a massless cord that is wrapped around a uniform disk of mass M 404 g and radius R- 11.3 cm. The disk can rotate without friction about a fixed horizontal axis through its center; the cord cannot slip on the disk. The system is released from rest. Find (a) the magnitude of the acceleration of the blocks, (b) the tension Ti in the cord...
8.67 Blocks A (mass 6.00 kg) and B (mass 14.00 kg, to the right of A) move on a frictionless, horizontal surface. Initially, block B is moving to the left at 0.500 m/s and block A is moving to the right at 2.00 m/s. The blocks are equipped with ideal spring bumpers. The collision is headon, so all motion before and after it is along a straight line. Let +x be the direction of the initial motion of A. Find...
A rigid system is made of three rods fastened together in the form of letter H (see figure). Two rods (A and B) are identical with length hA, radius rA and mass mA. The central rod (C) has length hc radius rc and mass mc The system is free to rotate in the horizontal xy plane around the vertical z axis passing through the centre of the system. Identify the moment of inertia of the rigid system 12 mc, Consider...