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Task 2 The normal component of acceleration of the point of the solid body, which...
point p lies in a rigid body that rotates at angular velocity, ω-i 7-j 10-k 5...
point p lies in a rigid body that rotates at angular velocity, ω-i 7-j 10-k 5 and angular acceleration, α itj 12-k 9. The body rotates about fixed point 0, and the radius vector op is given by R-i 3-j 8-k 2. Find e acceleration of P using cross product, Unit vector i,j, and k lie in a fized coordinate system. (11 points) (a) If
6) A massless turntable is used to play records. Each record is essentially a solid cylinder with...
6) A massless turntable is used to play records. Each record is essentially a solid cylinder with a radius of 0.15 m and mass 0.1 kg. There is a constant frictional force of 0.5 N due to a wire rubbing against the record a distance of 0.05 m from the axis of rotation. Answer the following questions assuming that you apply a tangential force on the record with your finger at a distance of 0.1 m from the axis of...
Part A) Angular Acceleration of the Rod Determine the angular acceleration of the rod the instant the rope and pulley system have pulled the rod through an angle of θ=2.50∘. Part B) Normal Component o...
Part A) Angular Acceleration
of the Rod
Determine the angular acceleration of the rod the instant the
rope and pulley system have pulled the rod through an angle of
θ=2.50∘.
Part B) Normal Component of the Reaction at A
Determine the normal component of the reaction the rod exerts on
the pin at A. Use the coordinate system set up by the free-body
diagram below.
Part C) Tangential Component of the Reaction at A
Determine the tangential component of the...
Please help Points: 10 12) A 18 kg solid disk pulley of radius 0.11 m rotates...
Please help
Points: 10 12) A 18 kg solid disk pulley of radius 0.11 m rotates about an axis through its center (a) What is its moment of inertia? (b) Starting from rest, a torque of 0.22 m-N will produce what angular acceleration? FIGURE 8-5 13) A solid disk with diameter 2.00 meters and mass 4.0 kg freely rotates about a vertical axis at 36.rpm. A 0.50 kg hunk of bubblegum is dropped onto the disk and sticks to the...
Cart mr 6- A planet of mass m and radius r orbits a star at a...
Cart mr 6- A planet of mass m and radius r orbits a star at a distance R (between their centres) with an angular velocity Wort = 2 rad/s. The planet also rotates around its own axis with an angular velocity of spin = 10 rad/s. The mass of the star is M-1000m. The moment of Star -R 00 inertia of a solid sphere is I = 2 mr 2- Calculate the total angular momentum L of the planet in...
1 Moment of inertia of a solid uniform sphere around its axis of symmetry a) What...
1 Moment of inertia of a solid uniform sphere around its axis of symmetry a) What is the volume element dV of a sphere? b) Assume a constant density p MIV, calculate the moment of inertia, remember that r is measured from the rotation axis for each volume element Use the volume of a sphere to get a solution that only depends on the mass M and radius R of the sphere. c) 2) Spinning DVD On a DVD, data...
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...
to and fixed to . A small sphere attachod to a light rigid rod rotates about...
to and fixed to . A small sphere attachod to a light rigid rod rotates about an axis perpe the other end of the rod Relative to the positive direction of the axis of rotation, the angular positions of the sphere are positive, its angular velocity is positive, and its angular acceleration is negative. The sphere is a) rotating clockwise and speeding up b) rotating elockwise and slowing down c) rotating d) rotating counterclockwise and slowing down e) first rotating...
12. (15 points) A uniform, solid cylinder of mass M and radius R rotates on a...
12. (15 points) A uniform, solid cylinder of mass M and radius R rotates on a frictionless horizontal axle (see figure below). Two objects with equal masses m hang from light cords wrapped around the cylinder. If the system is released from rest, find the following 12 i2 a) (6 points) The tension in each cord (Use any variable or symbol stated above along with the following as necessary: g.) Hints: Two masses move down with constant accretion, while the...
Task 2 (Gravitational Potential of the Earth) In good approximation, the earth can be regarded as...
Task 2 (Gravitational Potential of the Earth) In good approximation, the earth can be regarded as a sphere of homogenous mass density with radius R and total mass M. The gravitational potential of a mass m which has a distance r to the center of the earth is given by GMm , r>R U(r) 2R where Eo and G are constants a) Calculate the force F(r) which acts on a mass m at the earth's surface Hint: The gradient of...
point p lies in a rigid body that rotates at angular velocity, ω-i 7-j 10-k 5 and angular acceleration, α itj 12-k 9. The body rotates about fixed point 0, and the radius vector op is given by R-i 3-j 8-k 2. Find e acceleration of P using cross product, Unit vector i,j, and k lie in a fized coordinate system. (11 points) (a) If
6) A massless turntable is used to play records. Each record is essentially a solid cylinder with a radius of 0.15 m and mass 0.1 kg. There is a constant frictional force of 0.5 N due to a wire rubbing against the record a distance of 0.05 m from the axis of rotation. Answer the following questions assuming that you apply a tangential force on the record with your finger at a distance of 0.1 m from the axis of...
Part A) Angular Acceleration
of the Rod
Determine the angular acceleration of the rod the instant the
rope and pulley system have pulled the rod through an angle of
θ=2.50∘.
Part B) Normal Component of the Reaction at A
Determine the normal component of the reaction the rod exerts on
the pin at A. Use the coordinate system set up by the free-body
diagram below.
Part C) Tangential Component of the Reaction at A
Determine the tangential component of the...
Please help
Points: 10 12) A 18 kg solid disk pulley of radius 0.11 m rotates about an axis through its center (a) What is its moment of inertia? (b) Starting from rest, a torque of 0.22 m-N will produce what angular acceleration? FIGURE 8-5 13) A solid disk with diameter 2.00 meters and mass 4.0 kg freely rotates about a vertical axis at 36.rpm. A 0.50 kg hunk of bubblegum is dropped onto the disk and sticks to the...
Cart mr 6- A planet of mass m and radius r orbits a star at a distance R (between their centres) with an angular velocity Wort = 2 rad/s. The planet also rotates around its own axis with an angular velocity of spin = 10 rad/s. The mass of the star is M-1000m. The moment of Star -R 00 inertia of a solid sphere is I = 2 mr 2- Calculate the total angular momentum L of the planet in...
1 Moment of inertia of a solid uniform sphere around its axis of symmetry a) What is the volume element dV of a sphere? b) Assume a constant density p MIV, calculate the moment of inertia, remember that r is measured from the rotation axis for each volume element Use the volume of a sphere to get a solution that only depends on the mass M and radius R of the sphere. c) 2) Spinning DVD On a DVD, data...
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...
to and fixed to . A small sphere attachod to a light rigid rod rotates about an axis perpe the other end of the rod Relative to the positive direction of the axis of rotation, the angular positions of the sphere are positive, its angular velocity is positive, and its angular acceleration is negative. The sphere is a) rotating clockwise and speeding up b) rotating elockwise and slowing down c) rotating d) rotating counterclockwise and slowing down e) first rotating...
12. (15 points) A uniform, solid cylinder of mass M and radius R rotates on a frictionless horizontal axle (see figure below). Two objects with equal masses m hang from light cords wrapped around the cylinder. If the system is released from rest, find the following 12 i2 a) (6 points) The tension in each cord (Use any variable or symbol stated above along with the following as necessary: g.) Hints: Two masses move down with constant accretion, while the...
Task 2 (Gravitational Potential of the Earth) In good approximation, the earth can be regarded as a sphere of homogenous mass density with radius R and total mass M. The gravitational potential of a mass m which has a distance r to the center of the earth is given by GMm , r>R U(r) 2R where Eo and G are constants a) Calculate the force F(r) which acts on a mass m at the earth's surface Hint: The gradient of...
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