As shown in the figure, two boxes of mass and are connected by an essentially massless, non-elastic wire passing over a light, frictionless pulley. The box of mass m, is released from rest at height h above the table. Use the isolated system model to answer the following. (We assume m, > m,. Use any variable or symbol stated above along with the following as necessary: g.) (a) Determine the speed of m, just as m, hits the table. v= 5.77 Since the only force acting is the conservative force of gravity, mechanical energy is conserved. Write a statement of conservation of energy and the expressions for the change in kinetic energy and the change in gravitational potential energy. Combine these three expressions and solve for the speed in terms of known quantities. Note that you want the speed and not the velocity. (b) Find the maximum height above the table to which m, rises. hmax 6.66 The maximum height is the distance h plus Ah the distance m, travels upward after m, lands on the table. Since the only force acting on m, during this time is the conservative force of gravity, conserve mechanical energy to determine Ah.

As shown in the figure, two boxes of mass and are connected by an essentially massless, non-elastic wire passing over a light, frictionless pulley. The box of mass m, is released from rest at height h above the table. Use the isolated system model to answer the following. (We assume m, > m,. Use any variable or symbol stated above along with the following as necessary: g.) (a) Determine the speed of m, just as m, hits the table. v= 5.77 Since the only force acting is the conservative force of gravity, mechanical energy is conserved. Write a statement of conservation of energy and the expressions for the change in kinetic energy and the change in gravitational potential energy. Combine these three expressions and solve for the speed in terms of known quantities. Note that you want the speed and not the velocity. (b) Find the maximum height above the table to which m, rises. hmax 6.66 The maximum height is the distance h plus Ah the distance m, travels upward after m, lands on the table. Since the only force acting on m, during this time is the conservative force of gravity, conserve mechanical energy to determine Ah.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter11: Dynamics Of Rigid Bodies

Section: Chapter Questions

Problem 11.31P

See similar textbooks

Similar questions

every force acting on the particle's free-body diagram will create an impulse, even though some of these forces will do no work true or false
A block of mass M, capable of sliding with negligible friction over a horizontal air rail, is attached to one end of the rail by a spring of negligible mass and elastic constant k, initially relaxed. A projectile with mass m and horizontal velocity v, hits the block at t=0, as shown in the figure below; the projectile is attached to the block. The expression of the system's displacement X for t > 0 is:
Consider the collision below between two objects of unequal mass. After finding the angle Θ2 speed v2 for the larger mass, show that the collision is elastic.
Let's put a circle of 10 m radius and constant density. At 5 m from the center, I make a hole of 3 m radius. Where will be the center of mass of this system? I put this disk vertically on a horizontal table, but the hole at the bottom. What happens? Nature always goes to the state of minimum energy....!
Hi, con you help me with this problem please? A mass M is released from a height H, it strikes a a mass m = 1.5M. If the impact is perfectly inelastic, find the maximum height the system gets and the energy loss in the collision. Thanks
Check Your Understanding The U.S. Air Force uses “10gs” (an acceleration equal to 109.8m/s2 ) as the maximum acceleration a human can withstand (but only tot several seconds) aid survive. How much time must the Enterprise spend accelerating if the humans on board are to experience an average at most 10gs of acceleration? (Assume the inertial dampeners are offline.)
Next up on this adventure, shooting bullets into conveniently shaped pendulum systems to have a setup for a ballistic pendulum. In this case, a projectile, (m = 0.50kg) is fired into a large block of wood of mass (m = 20 kg) suspended like a pendulum. As a result of this inelastic collision, the pendulum and projectile together swing up to a height of 10m. What was the initial speed of the bullet?
Consider a head-on, elastic collision between twobodies whose masses are m and M, with Itis well known that if m has speed and M is initiallyat rest, m will bounce straight back with its speedunchanged, while M will remain at rest (to anexcellent approximation). Use this fact to predict thefinal velocities if M approaches with speed and mis initially at rest.
two astronauts with masses m1 and m2 are moving with the velocity u together. They push each other off in the direction perpendicular to u, spending the energy deltaE. what is the angle between the velocities of the astronauta after the push off?
How much kinetic energy is lost in the inelastic collisions? Where does it go? Is it still in the “closed system” or has it been lost to surroundings?
Starting from Newton’s second law of motion, prove that impulse imparted on an object is equal to the change in momentum its momentum. Two masses m1 and m2 with a separation distance of d, attract each with a force F. What is the relationship between the F, m1, m2, and d? By what factor will the force of attraction change if the distance is quadrupled? A 400 kg object moving at a speed of 5 m/s to the right collides with a 600 moving at 2 m/s to the left. After the collision, the 600 kg object moves to the right at a speed of 3 m/s. Determine, the velocity of the 400 kg object after the collision
A bullet of mass m and speedv passes completely through a pendulumbob of mass M as shown inFigure P6.64. The bullet emergeswith a speed of v/2. The pendulumbob is suspended by a stiff rod oflength , and negligible mass. Whatis the minimum value of v such thatthe bob will barely swing through acomplete vertical circle?