Problem 5: A 2.0 kg block, lying on a smooth table, is connected to another 5.0 kg block by means of a weightless cord passing over, without slipping, a cylindrical pulley of 2.0 kg mass and 10.0 cm radius placed at the edge of the table. The system is released from rest at t= 0. Consider g=9.8 m/s?. (a) In 0.3s the 5.0 kg block will drop by, (b) The tension in the part of cord connected horizontally to the 2.0 kg block is

Problem 5: A 2.0 kg block, lying on a smooth table, is connected to another 5.0 kg block by means of a weightless cord passing over, without slipping, a cylindrical pulley of 2.0 kg mass and 10.0 cm radius placed at the edge of the table. The system is released from rest at t= 0. Consider g=9.8 m/s?. (a) In 0.3s the 5.0 kg block will drop by, (b) The tension in the part of cord connected horizontally to the 2.0 kg block is

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 11.29P: A space station is coast me ted in the shape of a hollow ring of mass 5.00 104 kg. Members of the...

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A space station is constructed in the shape of a hollow ring of mass 5.00 104 kg. Members of the crew walk on a deck formed by the inner surface of the outer cylindrical wall of the ring, with radius r = 100 m. At rest when constructed, the ring is set rotating about its axis so that the people inside experience an effective free-fall acceleration equal to g. (See Fig. P10.52.) The rotation is achieved by firing two small rockets attached tangentially to opposite points on the rim of the ring. (a) What angular momentum does the space station acquire? (b) For what time interval must the rockets be fired if each exerts a thrust of 125 N? Figure P10.52 Problems 52 and 54.
A space station is coast me ted in the shape of a hollow ring of mass 5.00 104 kg. Members of the crew walk on a deck formed by the inner surface of the outer cylindrical wall of the ring, with radius r = 100 m. At rest when constructed, the ring is set rotating about its axis so that the people inside experience an effective free-fall acceleration equal to g. (Sec Fig. P11.29.) The rotation is achieved by firing two small rockets attached tangentially to opposite points on the rim of the ring, (a) What angular momentum does the space station acquirer (b) For what time interval must the rockets be fired if each exerts a thrust of 125 N?
Consider the system in the figure, in which a small mass m = 1.95 kg is sliding off the top of a cylindrical object. There is no friction between the mass and the cylinder, which has a radius of r = 0.46 m. At what height, relative to the bottom of the cylinder, will the mass leave the surface of the cylinder?
The two balls are attached to the light rigid rod, which is suspended by a cord from the support above it. If the balls and rod, initially at rest, are struck with the force F = 11.5 lb, calculate the magnitudes of the corresponding acceleration of the mass center and the rate at which the angular velocity of the bar is changing.
A wheel in the shape of a flat, heavy, uniform, solid disk is initially at rest at the top of an inclined plane of height 2.00 m when it begins to roll down the incline. If rolling and sliding friction are neglected, what is the linear velocity, in m/s, of the center-of-mass of the wheel when it reached the bottom of the incline?
You are the technical consultant for an action-adventure film in which a stunt calls for the hero to drop off a 19-m-tall building and land on the ground safely at a final vertical speed of 5 m/s. At the edge of the building's roof, there is a 100-kg drum that is wound with a sufficiently long rope (of negligible mass), has a radius of 0.4 m, and is free to rotate about its cylindrical axis with a moment of inertia I0. The script calls for the 76-kg stuntman to tie the rope around his waist and walk off the roof. (a) Determine an expression for the stuntman's linear acceleration in terms of his mass m, the drum's radius r, and moment of inertia I0. (b) Determine the required value of the stuntman's acceleration if he is to land safely at a speed of 5 m/s.
A certain gyroscope consists of a uniform disk with a 50 cm radius mounted at the center of an axle that is 11 cm long and of negligible mass.The axle is horizontal and supported at one end. If the spin rate is 1000 rev/min, what is the precession rate?
Consider a flat rectangular plate of known mass, width and breadth with a negligible thickness that lies in the horizontal xy-plane. The plate is suspended from a thin piece of piano wire that is in the vertical orientation coincident to the z-axis and where the piano wire is attached to the center of the plate. When the plate is subjected to a torque whose vector is coincident to the z-axis, the plate rotates in the horizontal plane such that the rotation of the plate is modelled as θ=Csin⁡(ωnt+ϕ). The parameter information is: mass of plate M = 1.2 kilogram width of plate W = 0.040 meter breadth of plate B = 0.075 meter shear modulus of piano wire G = 79.3 gigaPascals diameter of piano wire D = 0.003 meter length of piano wire L = 0.120 meter amplitude of rotation C = 0.087267520415 radian phase lag of rotation ϕ = 1.565872597159 radian Using the supplied information and any appropriate assumptions and / or approximations to determine the following; 1) the mass moment of inertia I 2)…
One of the curators at the art museum is tilting a large cylinder backward. At what angle q will the cylinder of height h and radius r be in unstable equilibrium?
A block of mass m1 = 1.50 kg and a block of mass m2 = 6.25 kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = 0.250 m and mass M = 10.0 kg. The fixed, wedge-shaped ramp makes an angle of ? = 30.0° as shown in the figure. The coefficient of kinetic friction is 0.360 for both blocks. (b) Determine the acceleration of the two blocks. (Enter the magnitude of the acceleration.)
In the assembly below the system can rotate around the vertical axis. The left part is a square where R = 0.1 meters, and the mass of each of the four thin bars is uniform and is 0.1 kg. On the left is a massive sphere of radius R = 0.2 meters and Mass M = 0.3 kg. Assume that the system rotates with constant period T = 2.0 s, when, without any external action, as three leftmost bars detach from the system, leaving only the right vertical bar (on the axis) and sphere . What will be the new period of system revolution? Note: Note that in this case there is no difference between angular velocity and frequency.
Consider an "L-shaped rod” of uniform mass density, hinged at point 'O' is held at rest initially.The mass of the rod is 'm = 1 kg'. The earth's gravitational field is assumed to be uniform and directed downwards. Assume no friction at hinges.The rod is now released. Find the maximum magnitude of angular speed of the rod (in rad/s). (Take: L=1m, √10 =19÷6)