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Questions 1-2 A ball of mass m and radius r (moment of inertia lmm) is placed...
ATTRITION: There is normally only one correct snswer for each question snd each correct anwwer ㎞...
ATTRITION: There is normally only one correct snswer for each question snd each correct anwwer ㎞ equal 10 1 polet. Only ehe an" on -answer sheet m will be raluated. Please be sure that you have marked all or your answers on the awer sheet him by ata.Hoa (net pen). Questions 1-2 A ball of mass m and radius r (momeut of inertia Imm) is placed on the inside of A a frictionless circular track of radius Ro as shown...
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...
Problem 4. A solid sphere of mass m and radius r rolls without slipping along the...
Problem 4. A solid sphere of mass m and radius r rolls without slipping along the track shown below. It starts from rest with the lowest point of the sphere at height h 3R above the bottom of the loop of radius R, much larger than r. Point P is on the track and it is R above the bottom of the loop. The moment of inertia of the ball about an axis through its center is I-2/S mr. The...
A block of mass m slides down a frictionless ramp to a loop of radius R,...
A block of mass m slides down a frictionless ramp to a
loop of radius R, also frictionless. It's initial height
above the bottom of the loop is ?h = 3R and the
block starts at rest.
What is the magnitude of the normal force that the track of the
loop exerts on the block at position 2? You can assume that the
block is exactly at the horizontal height of the center of the loop
when it reaches position...
A solid cylinder of radius R and mass m, and moment of inertia mR2/2, starts from rest and rolls down a hill without slipping.
A solid cylinder of radius R and mass m, and moment of inertia mR2/2, starts from rest and rolls down a hill without slipping. At the bottom of the hill, the speed of the center of mass is 4.7 m/sec. A hollow cylinder (moment of inertia mR2) with the same mass and same radius also rolls down the same hill starting from rest. What is the speed of the center of mass of the hollow cylinder at the bottom of...
e susJrom rest at the top of the well and falls for before hitting the water, how far does it fall? Moment of inertia of cylinder 1-% MR 2. A ladder is leant against the wall. The coefficient of...
e susJrom rest at the top of the well and falls for before hitting the water, how far does it fall? Moment of inertia of cylinder 1-% MR 2. A ladder is leant against the wall. The coefficient of the static friction p. between the ladder and the wall is 0.3 and the coefficient of the static friction g, between the ladder and the floor is 0.4. The center of mass of the ladder is in the middle of it...
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...
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 freely spinning wheel of mass M and radius R and moment of inertia I has...
A freely spinning wheel of mass M and radius R and moment of inertia I has its center attached to a fixed point a distance H above the ground. A thin thread is wrapped around the edge of the wheel, and connected to a mass, M (same as the wheel). When the mass is released from rest, it falls the distance H in a time delta t. In terms of M, g, I and H, how much time, delta t,...
A bicycle wheel of mass M and radius R is placed on a vertical axle and...
A bicycle wheel of mass M and radius R is placed on a vertical axle and is able to rotate without friction. A dart of mass, m is fired toward the wheel with an initial velocity v(o). The dart strikes the wheel and sticks in the tire. The moment of inertia of the wheel is I=mr^2. What is the initial angular momentum of the dart with respect to the center of the wheel? What is the angular velocity of the...
ATTRITION: There is normally only one correct snswer for each question snd each correct anwwer ㎞ equal 10 1 polet. Only ehe an" on -answer sheet m will be raluated. Please be sure that you have marked all or your answers on the awer sheet him by ata.Hoa (net pen). Questions 1-2 A ball of mass m and radius r (momeut of inertia Imm) is placed on the inside of A a frictionless circular track of radius Ro as shown...
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...
Problem 4. A solid sphere of mass m and radius r rolls without slipping along the track shown below. It starts from rest with the lowest point of the sphere at height h 3R above the bottom of the loop of radius R, much larger than r. Point P is on the track and it is R above the bottom of the loop. The moment of inertia of the ball about an axis through its center is I-2/S mr. The...
A block of mass m slides down a frictionless ramp to a
loop of radius R, also frictionless. It's initial height
above the bottom of the loop is ?h = 3R and the
block starts at rest.
What is the magnitude of the normal force that the track of the
loop exerts on the block at position 2? You can assume that the
block is exactly at the horizontal height of the center of the loop
when it reaches position...
e susJrom rest at the top of the well and falls for before hitting the water, how far does it fall? Moment of inertia of cylinder 1-% MR 2. A ladder is leant against the wall. The coefficient of the static friction p. between the ladder and the wall is 0.3 and the coefficient of the static friction g, between the ladder and the floor is 0.4. The center of mass of the ladder is in the middle of it...
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...
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