A man wishes to spin a merry-go-round in the x–y plane centered at the origin (0.000,0.000,0.000)....
A man wishes to spin a merry-go-round in the x–y plane centered at the origin (0.000,0.000,0.000). (Figure 1) Because he must pull upward and cannot stand on the merry-go-round, he must apply a force in the direction of the unit vector u=(?1/3)i+(2/3)j+(2/3)k. He pulls with a force F = 61.0 lb from point A [(3.00,4.00,0.000) ft].
What are the x, y, and z components of the resulting moment acting on the merry-go-round about the origin?
Homework Answers
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A man wishes to spin a merry-go-round in the x–y plane centered
at the origin (0.000,0.000,0.000)....
Part A Learning Goal: To understand the concept of moment of a force and how to...
Part A Learning Goal: To understand the concept of moment of a force and how to calculate it using a vector formulation. What are the x, y, and z components of the resulting moment acting on the merry-go-round about the origin? Express your answers numerically in pound-feet to three significant figures separated by commas. man wishes to spin a merry-go-round in the x-y plane centered origin (0.000,0.000, 0.000). (Figure 1) Because he must pull upward and cannot stand on the...
Moment of a Force: Vector Formulation 6 of 6 Mz, My, M175,-138,226 N-m Learning Goal evious...
Moment of a Force: Vector Formulation 6 of 6 Mz, My, M175,-138,226 N-m Learning Goal evious Ans To understand the concept of moment of a force and how to calculate it using a vector formulation A man wishes to spin a merry-go-round in the x-y plane centered at the origin (0.000, 0.000,0.000). (Figure 1) Because he must pull upward and cannot stand on the merry-go-round, he must apply a force in the direction of the unit vector u (-13)it (2/3jj...
24. In the figure, a man pushes on the outside edge of a merry-go-round Merry-go-round with...
24. In the figure, a man pushes on the outside edge of a merry-go-round Merry-go-round with a constant 60 newton force. In so doing, he manages to increase the spin rate of the merry-go-round from rest to 3 rad/sec in 2 seconds. Assume the radius of the merry-go-round is 2 meters. What is its moment of inertia? maximum α
A merry-go-round rotates at the rate of 0.15 rev/s with an 85-kg man standing at a...
A merry-go-round rotates at the rate of 0.15 rev/s with an 85-kg man standing at a point 2.0 m from the axis of rotation. (a) What is the new angular speed when the man walks to a point 0.9 m from the center? Assume that the merry-go-round is a solid 25-kg cylinder of radius 2.0 m. (b) Calculate the change in kinetic energy due to this movement. J How do you account for this change in kinetic energy? -Work is...
1.A playground merry-go-round has a radius of 3.0 m and a rotational inertia of 600 kgˑm2....
1.A playground merry-go-round has a radius of 3.0 m and a
rotational inertia of 600 kgˑm2. It is initially
spinning at 0.80 rad/s when a 20 kg child crawls from the center to
the rim. When the child reaches the rim the angular velocity of the
merry-go-round in rad/s is:
2.A picture P of weight W = 40 N is hung by two strings as
shown. The magnitude of the tension force
of each string is T and θ=30°. The...
A cat rides a merry-go-round tuning with a uniform circular motion. At t1= 2.00 s, the...
A cat rides a merry-go-round tuning with a uniform circular motion. At t1= 2.00 s, the cat's velocity is given by vx= 3.00 m/s and vy= 4.00 m/s. At t2= 5.00 s, the cat's velocity is given by vx= -3.00 m/s and vy= -4.00 m/s. Take the coordinate system of the merry-go-round to have its origin at the center. (a) What is the magnitude of the cat's centripetal acceleration? (b) What is the magnitude of the cat's average acceleration during...
5. Little Jay is en joying his first ride on a merry-go-round. (He is riding a...
5. Little Jay is en joying his first ride on a merry-go-round. (He is riding a stationary horse rather than one that goes up and down.) A schematic view of the merry go-round as seen from above is shown in the drawing to the right with a convenient coordinate system. A bit after the merry-go-round has started and is going around uniformly, we start our clock. Little Jays position and velocity at time t O is shown as a dot...
Four forces act on the origin of an X-Y Cartesian Coordinate system as pictured below. a....
Four forces act on the origin of an X-Y Cartesian Coordinate system as pictured below. a. Resolve each force into its components along the X and Y axes. b. Find the magnitude and direction of the resultant force acting on the system. Y 300 lb 60° 200 lb 3 0 30 50 lb 400 lb
3. A merry-go-round (uniform disk) of mass M = 125 kg and radius R = 1.5...
3. A merry-go-round (uniform disk) of mass M = 125 kg and radius R = 1.5 m is rotating initially wi = 12 rad/s. A person (we'll call the person a thin uniform rod) of mass m = 65 kg and height h= R initially stands over the rotation axis. The person decides to lie down with feet at the center and head at the outer edge (see figure). Since the person is a "thin rod', we can ignore the...
An elliptical loop of axes of length a and b, centered at origin and lying in the y − z plane car...
An elliptical loop of axes of length a and b, centered
at origin and lying in the y − z plane carries current
I. The major axis of the ellipse is the ˆy.
1. What component of A is non-zero in the x − y plane?
[A qualitative argument will sufce]
2. Find an expression for B in terms of th non-zero components of
A.
3. What is the direction of B along i) the positive x axis and ii)...
Part A Learning Goal: To understand the concept of moment of a force and how to calculate it using a vector formulation. What are the x, y, and z components of the resulting moment acting on the merry-go-round about the origin? Express your answers numerically in pound-feet to three significant figures separated by commas. man wishes to spin a merry-go-round in the x-y plane centered origin (0.000,0.000, 0.000). (Figure 1) Because he must pull upward and cannot stand on the...
Moment of a Force: Vector Formulation 6 of 6 Mz, My, M175,-138,226 N-m Learning Goal evious Ans To understand the concept of moment of a force and how to calculate it using a vector formulation A man wishes to spin a merry-go-round in the x-y plane centered at the origin (0.000, 0.000,0.000). (Figure 1) Because he must pull upward and cannot stand on the merry-go-round, he must apply a force in the direction of the unit vector u (-13)it (2/3jj...
24. In the figure, a man pushes on the outside edge of a merry-go-round Merry-go-round with a constant 60 newton force. In so doing, he manages to increase the spin rate of the merry-go-round from rest to 3 rad/sec in 2 seconds. Assume the radius of the merry-go-round is 2 meters. What is its moment of inertia? maximum α
1.A playground merry-go-round has a radius of 3.0 m and a
rotational inertia of 600 kgˑm2. It is initially
spinning at 0.80 rad/s when a 20 kg child crawls from the center to
the rim. When the child reaches the rim the angular velocity of the
merry-go-round in rad/s is:
2.A picture P of weight W = 40 N is hung by two strings as
shown. The magnitude of the tension force
of each string is T and θ=30°. The...
5. Little Jay is en joying his first ride on a merry-go-round. (He is riding a stationary horse rather than one that goes up and down.) A schematic view of the merry go-round as seen from above is shown in the drawing to the right with a convenient coordinate system. A bit after the merry-go-round has started and is going around uniformly, we start our clock. Little Jays position and velocity at time t O is shown as a dot...
Four forces act on the origin of an X-Y Cartesian Coordinate system as pictured below. a. Resolve each force into its components along the X and Y axes. b. Find the magnitude and direction of the resultant force acting on the system. Y 300 lb 60° 200 lb 3 0 30 50 lb 400 lb
3. A merry-go-round (uniform disk) of mass M = 125 kg and radius R = 1.5 m is rotating initially wi = 12 rad/s. A person (we'll call the person a thin uniform rod) of mass m = 65 kg and height h= R initially stands over the rotation axis. The person decides to lie down with feet at the center and head at the outer edge (see figure). Since the person is a "thin rod', we can ignore the...
An elliptical loop of axes of length a and b, centered
at origin and lying in the y − z plane carries current
I. The major axis of the ellipse is the ˆy.
1. What component of A is non-zero in the x − y plane?
[A qualitative argument will sufce]
2. Find an expression for B in terms of th non-zero components of
A.
3. What is the direction of B along i) the positive x axis and ii)...
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