1. Two equal weights of mass M each are connected by a cord passing over a frictionless pulley of mass mp and radius r. An additional weight of mass m is placed on one of the weights of mass M. Derive the expression for: a) system acceleration a; b) cord tensions. 2. A helicopter rotor blade can be considered a long thin
1. A car of mass 1000 kg moves with a speed of 50 m/s on a circular track of radius 100 m. What is the magnitude of its angular momentum (in kg.m^2/s) relative to the center of the racetrack? 2. A Body oscillates with simple harmonic motion along the x-axis. Its displacement varies with time according to the equation x=5 sin
A thin uniform rod of length .6m and mass M is rotating horizontally at 79.0 rad/s counterclockwise about an axis through its center. A particle of mass M/3 and speed 38.5 m/s hits the rod and sticks. The particle's path is perpendicular to the rod at the instant of the hit, at a distance d from the rod's center. At what valu
A space station is constructed in the shape of a hollow ring of mass 5.00 x 10^4 kg. Members of the crew walk on a deck formed by the inner surface of the outer cylindrical wall of the ring, with radius of 100m. At rest when constructed, the ring is set rotating around its axis so that the people inside experience an effectiv
A uniform solid sphere of radius 0.500 m and mass of 15.0kg turns counterclockwise about a vertical axis through its center. Find its vector angular momentum when its angular speed is 3.00 rad/s. I think I have worked this problem correctly. (See attachment) Please check my answer and confirm if in correct please point ou
The 3.20kg, 38.0cm diameter disk in the figure is spinning at 350 rpm. How much friction force must the brake apply to the rim to bring the disk to a halt in 2.40 seconds? (Please see attachment for diagram.)
This question is posted in three parts this is part 2
I am posting this question in three parts please see the attachment, this is part one
A 1.10 m-long massless rod is pivoted at one end and swings around in a circle on a frictionless table. A block with a hole through the center can slide in and out along the rod. Initially, a small piece of wax holds the block 10.0 cm from the pivot. The block is spun at 50.0 rpm, then the temperature of the rod is slowly increa
A particle of mass M is shot with an initial velocity Vi and makes an angle theta with the horizontal. The particle moves in the gravitational field of the earth. Find the angular momentum of the particle about the origin when the particle is (a) at the highest point of the trajectory and (b) just about to hit the ground.
A uniform cylinder, mass M= 12 kg, radius R= .36 m, is initially rotating about a vertical axis through its center at angular velocity wo= 6.6 rad/sec. Now two small (point masses), each of mass m= 2 kg, are dropped onto and stick to the cylinder, each at distance r= .24 m from the axis. SEE ATTACHMENT for diagram. Find wf, t
A figure skater during her finale can increase her rotation rate from an initial rate of 1.12 revolutions every 1.88 s to a final rate of 3.15 revolutions per second. If her initial moment of inertia was 4.73 kg* m2, what is her final moment of inertia?
Rolling, Torque , and Angular Momentum 1. A constant horizontal force of magnitude 10 N is applied to a wheel of mass 10 kg and radius 0.30 m as shown in the figure below. The wheel rolls smoothly on the horizontal surface and the acceleration of its center of mass has magnitude 0.60 m/s^2. ( a) what are the magnitude and
Moving mass m collides with stationary mass M attached to a spring on a frictionless table. Write SHM equations.
SEE ATTACHMENT #1 for a diagram of parameters and a reference circle. On a horizontal, frictionless table, a mass M is attached to the free end of a spring with the other end fixed. Another mass, m, moving at velocity S, collides and sticks to mass M and at that point, SHM begins. The spring's force constant is k. PART a.
A uniform sphere, mass M= 84 kg, radius R, has two uniform, thin, flexible bars each with mass m= 25 kg, and length half a circumference, wrapped on its surface as shown in Fig. 1. The system is rotating with a period To about a c.m. axis at center. At some instant, the bars fly outward to form a new configuration shown in Fig.
See attached file. Definition 1: The linear momentum, vector p, of an object is its mass, m, times its velocity, vector v. Definition 2: The angular momentum, vector L, of an object about an axis, is defined as the cross product of the position, vector R, relative to the axis, and its linear momentum, vector p. Definition 3
A particle of mass 50g moves under an attractive central force of magnitude 4r^3 dynes. The angular momentum is equal to l,000 g*cm/s. a) Find the effective potential energy. b) Indicate on a sketch of the effective potential the total energy for circular motion. c) The radius of the particle's orbit varies between ro an
Mass m is attached to a post with radius R by a string. Initially, the mass is a distance r from the center of the post and is moving tangentially with a speed Vo. In case (a) the string passes through a hole in the center of the post at the top. The string is gradually shortened by drawing it through the hole. Case (b) the spri
A turn-table on a frictionless vertical axis has a radius of 1.5 m and a moment of rotational inertia of 150 kgm^2. It is at rest until a 75 kg person who had been standing still (and who can be treated as a point), begins to walk around the rim at a speed of 2.0 m/s with respect to the turn-table. a) what is the speed of the p
A .015 kg coin of diameter .013 m is spinning at 9 rev/s about a vertical diameter at a fixed point on a tabletop. a) If the coin spins about a vertical diameter at 9 rev/s while its center of mass travels in a straight line across the tabletop at .05 m/s, what is the angular momentum of the coin about a point on the line of mot
1 Provide an example of torque that is important in your sport? 2. Define strength and explain why strength varies through a joints range of motion?
1. Identify and explain propulsive and breaking forces in soccer? 2. Provide three examples where momentum influences soccer? 3. In soccer, outline how impulse can be increased. These questions are for a post-grad degree in elite sports coaching - (biomechanics module)
If a rigid homogeneous rectangular crate of mass m and height h slides on its base of w, while traveling a velocity v, it stikes a low, immovable curb. What is the angular velocity of the crate immediately after the impact, in terms of m,w,h,v; and under what condition (in m,w,h,v) will the crate fall over on its side?
When the n value of an electron shell is equal to 5, the allowed values for the angular momentum quantum number are 0 to n-1. What is the subshell level label for agular momententum quantum number 4, as s is 0 p is 1 d is 2 and f 3, what would represent 4 and larger?