A ball of mass M and radius R, stands on a horizontal plank of mass m....
A ball of mass M and radius R, stands on a horizontal plank of mass m. The plank is pulled to the right with a constant force F. Assuming the ball does not slip, find the accelerations of the ball and of the plank.
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A ball of mass M and radius R, stands on a horizontal plank of
mass m....
A yo-yo of mass m and radius R is placed on a horizontal surface as shown. A massless string is w...
A yo-yo of mass m and radius R is placed on a horizontal surface as shown. A massless string is wrapped around an axle of radius r. The string will be pulled horizontally to the right as shown with a force of constant magnitude F. There is sufficient friction (f) between the surface and the yo-yo for the yo-yo to roll without slipping. Assume that the moment of inertia of the yo-yo about its rotation axis is approximatelyI (1/2)mR2. Draw...
A worker stands a distance d = 0.325 m from the left end of a plank...
A worker stands a distance
d = 0.325 m
from the left end of a plank as shown in the figure. The plank
is supported by three cords. Find the tension in each cord (in N).
Assume the plank is uniform, with length L = 2.00 m and
mass 29.5 kg, and the weight of the worker is 720 N. (Due to the
nature of this problem, do not use rounded intermediate values in
your calculations—including answers submitted in
WebAssign.)...
Problem 4 A uniform solid spherical ball of mass M and radius R rests on a horizontal surface. Assume a constant coeffi...
Problem 4 A uniform solid spherical ball of mass M and radius R rests on a horizontal surface. Assume a constant coefficient of friction (this means that the frictional force is equal to the normal force multiplied by u). The acceleration due to gravity is g. At time t 0, the bal is struck impulsively on center, causing it to go instantaneously from rest to initial rotation horizontal speed vo with a no (a) Find the horizontal speed, and the...
Notes O Ask Your Teacher A horizontal plank of mass 9.00 kg and length 8.00 m...
Notes O Ask Your Teacher A horizontal plank of mass 9.00 kg and length 8.00 m is plvoted at one end. The plank's other end is supported by a spring of force constant 150 N/m (see the f below). The plank is displaced by à small angle 8 from its horizontal equillbrium position and released. Find the angular f harmonic motion. frequency with which the plank moves with simple Pwot
A uniform plank of length 2.00 m and mass 34.0 kg is supported by three ropes,...
A uniform plank of length 2.00 m and mass 34.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 685–N person is d = 0.500 m from the left end. magnitude of T1 N magnitude of T2 N magnitude of T3 N A person stands on a horizontal 2.00 m long plank a distance d from the left end. The plank is supported by three...
2. A homogeneous solid ball of mass m and radius r rolls without slip on a...
2. A homogeneous solid ball of mass m and radius r rolls without slip on a seesaw. The distance to their contact point from the hinge of the seesaw is x, and the angle of the seesaw w.r.t. the horizontal line is 8. The moment of inertia of the seesaw about its hinge is I, and the moment of inertia of the ball about its central axis is mr2. Find the kinetic energy T and the potential energy V of...
Consider a ball of mass 0.110 kg being spun in a horizontal circle of radius r-0.50...
Consider a ball of mass 0.110 kg being spun in a horizontal circle of radius r-0.50 m, as shown to the right. When the ball reaches an angular velocity (o) of 2.00 rad/s, it is given a constant angular acceleration of a- 2.00 rads. You can assume that the radius of the circular path followed by the ball remains constant during this acceleration. After precisely 3.00 seconds of this angular acceleration, the ball breaks off the string (a) In what...
Problem 9 m,r A solid ball of mass m and radius r sits at rest at the top of a hill of height H l...
Problem 9 m,r A solid ball of mass m and radius r sits at rest at the top of a hill of height H leading to a circular loop-the loop. The center of mass of the ball will move in a circle of radius R if it goes around the loop. The moment of inertia of a solid ball is Ibull--mr. (a) Find an expression for the minimum height H for which the ball barely goes around the loop, staying...
1) A solid ball of mass M and radius R rolls without slipping down a hill...
1) A solid ball of mass M and radius R rolls without slipping down a hill with slope tan θ. (That is θ is the angle of the hill relative to the horizontal direction.) What is the static frictional force acting on it? It is possible to solve this question in a fairly simple way using two ingredients: a) As derived in the worksheet when an object of moment of inertia I, mass M and radius R starts at rest...
A disk of mass M and radius R is on the horizontal table, and an external...
A disk of mass M and radius R is on the horizontal table, and an external force F is applied to the disk as shown in Figure above. The coefficient of friction between the disk and the table is and it is large enough that the disk is rolling without slipping. The initial velocity of the center of mass is V_3 = 0, the initial angular velocity is 0. Find the acceleration of the center of mass of the disk...
A yo-yo of mass m and radius R is placed on a horizontal surface as shown. A massless string is wrapped around an axle of radius r. The string will be pulled horizontally to the right as shown with a force of constant magnitude F. There is sufficient friction (f) between the surface and the yo-yo for the yo-yo to roll without slipping. Assume that the moment of inertia of the yo-yo about its rotation axis is approximatelyI (1/2)mR2. Draw...
A worker stands a distance
d = 0.325 m
from the left end of a plank as shown in the figure. The plank
is supported by three cords. Find the tension in each cord (in N).
Assume the plank is uniform, with length L = 2.00 m and
mass 29.5 kg, and the weight of the worker is 720 N. (Due to the
nature of this problem, do not use rounded intermediate values in
your calculations—including answers submitted in
WebAssign.)...
Problem 4 A uniform solid spherical ball of mass M and radius R rests on a horizontal surface. Assume a constant coefficient of friction (this means that the frictional force is equal to the normal force multiplied by u). The acceleration due to gravity is g. At time t 0, the bal is struck impulsively on center, causing it to go instantaneously from rest to initial rotation horizontal speed vo with a no (a) Find the horizontal speed, and the...
Notes O Ask Your Teacher A horizontal plank of mass 9.00 kg and length 8.00 m is plvoted at one end. The plank's other end is supported by a spring of force constant 150 N/m (see the f below). The plank is displaced by à small angle 8 from its horizontal equillbrium position and released. Find the angular f harmonic motion. frequency with which the plank moves with simple Pwot
2. A homogeneous solid ball of mass m and radius r rolls without slip on a seesaw. The distance to their contact point from the hinge of the seesaw is x, and the angle of the seesaw w.r.t. the horizontal line is 8. The moment of inertia of the seesaw about its hinge is I, and the moment of inertia of the ball about its central axis is mr2. Find the kinetic energy T and the potential energy V of...
Consider a ball of mass 0.110 kg being spun in a horizontal circle of radius r-0.50 m, as shown to the right. When the ball reaches an angular velocity (o) of 2.00 rad/s, it is given a constant angular acceleration of a- 2.00 rads. You can assume that the radius of the circular path followed by the ball remains constant during this acceleration. After precisely 3.00 seconds of this angular acceleration, the ball breaks off the string (a) In what...
Problem 9 m,r A solid ball of mass m and radius r sits at rest at the top of a hill of height H leading to a circular loop-the loop. The center of mass of the ball will move in a circle of radius R if it goes around the loop. The moment of inertia of a solid ball is Ibull--mr. (a) Find an expression for the minimum height H for which the ball barely goes around the loop, staying...
A disk of mass M and radius R is on the horizontal table, and an external force F is applied to the disk as shown in Figure above. The coefficient of friction between the disk and the table is and it is large enough that the disk is rolling without slipping. The initial velocity of the center of mass is V_3 = 0, the initial angular velocity is 0. Find the acceleration of the center of mass of the disk...
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