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1) Wrap a cable around a solid cylinder of mass without friction. A block of mass...
We wrap a light, flexible cable around a solid cylinder with mass 0.68 kg and radius 0.17...
We wrap a light, flexible cable around a solid cylinder with mass 0.68 kg and radius 0.17 m . The cylinder rotates with negligible friction about a stationary horizontal axis. We tie the free end of the cable to a block of mass 1.42 kg and release the object with no initial velocity at a distance 1.63 m above the floor. As the block falls, the cable unwinds without stretching or slipping, turning the cylinder. Suppose the falling mass is made of ideal rubber,...
A light cable is wrapped around a solid cylinder with mass M = 1.50 kg and...
A light cable is wrapped around a solid cylinder with mass M = 1.50 kg and radius R = 0.20 m as shown in the figure below. The cylinder rotates with negligible friction about a stationary horizontal axis. The free end of the cable is tied to a block of mass m = 0.50 kg. The block, initially at rest, is released at a height h = 1.00 m above the floor. As the block falls, the cable unwinds without...
A lightweight, non-stretchable cable wraps around a cylinder solid with a mass of 50 kg and...
A lightweight, non-stretchable cable wraps around a
cylinder
solid with a mass of 50 kg and 0.120 m in diameter, which rotates
around
of a horizontal fixed shaft and is mounted on frictionless bearings
(figure 9.16). A constant force of 9.0 N pulls the free end of
the
cable a distance of 2.0 m, rotating the cylinder as it unwinds
without slipping. If the cylinder is initially at rest,
calculate
its final angular speed and the final speed of the...
A light string is wrapped around a solid cylinder, and a block of mass m=100g hangs...
A light string is wrapped around a solid cylinder, and a block
of mass m=100g hangs from the free end of the string, as shown
Figure A2.17. When released, the block falls a
distance of 1.00m in 2.00s.
Draw free-body (or force) diagrams for the block and the
cylinder.
Calculate the tension in the string.
Determine the mass (M) of the cylinder.
A light string is wrapped around a solid cylinder, and a block of mass m 100 g hangs...
A cylinder with moment of inertia I about its center of mass, mass m, and radius r has a string wrapped around it whi...
A cylinder with moment of inertia I about its center of mass, mass
m, and radius r has a string wrapped around it which is tied to the
ceiling (Figure 1) . The cylinder's vertical position as a function
of time is y(t).At time t=0 the cylinder is released from rest at a height h above
the ground.Part
BIn similar problems involving rotating bodies, you will often also
need the relationship between angular acceleration, ?, and linear acceleration, a. Find...
Investigation 1 - Connected Particles (Maximum Mark 45) A block mass M kg is resting on...
Investigation 1 - Connected Particles (Maximum Mark 45) A block mass M kg is resting on the horizontal top of a cube. The coefficient of friction between the block and the cube is u. Two strings are attached to the sides of the block. One string passes over a pulley and is attached to an object of mass m kg which is hanging freely a height h metres above the ground. The other string passes over another pulley on the...
5. A particle of mass m slides without friction and starting from rest down a block...
5. A particle of mass m slides without friction and starting from rest down a block of mass M in which the surface is shaped into a quadrant of a circle of radius R. The block also slides without friction on a table top. Choose two suitable generalized coordinates a) Using the Lagrange-multiplier formalism, find the equations of motion of the mass and the block and the reaction force of the block on the mass (ie. the constraint force b)...
The solid cylinder and cylindrical shell in the figure have the same mass, same radius, and turn on frictionless, horiz...
The solid cylinder and cylindrical shell in the figure have the
same mass, same radius, and turn on frictionless, horizontal axles.
(The cylindrical shell has lightweight spokes connecting the shell
to the axle.) A rope is wrapped around each cylinder and tied to a
block. The blocks have the same mass and are held the same height
above the ground. Both blocks are released simultaneously. Which
hits the ground first? Or is it a tie? Must explain why
The answer...
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...
1. +-7 points SerCP11132.P015 My Notes Ask Your Teacher A horizontal block-spring system with the block...
1. +-7 points SerCP11132.P015 My Notes Ask Your Teacher A horizontal block-spring system with the block on a frictionless surface has total mechanical energy E40.4 J and a maximum displacement from equilibrium of 0.268 m. (a) What is the spring constant? N/m (b) What is the kinetic energy of the system at the equilibrium point? (c) If the maximum speed of the block is 3.45 m/s, what is its mass? kg (d) What is the speed of the block when...
A lightweight, non-stretchable cable wraps around a
cylinder
solid with a mass of 50 kg and 0.120 m in diameter, which rotates
around
of a horizontal fixed shaft and is mounted on frictionless bearings
(figure 9.16). A constant force of 9.0 N pulls the free end of
the
cable a distance of 2.0 m, rotating the cylinder as it unwinds
without slipping. If the cylinder is initially at rest,
calculate
its final angular speed and the final speed of the...
A light string is wrapped around a solid cylinder, and a block
of mass m=100g hangs from the free end of the string, as shown
Figure A2.17. When released, the block falls a
distance of 1.00m in 2.00s.
Draw free-body (or force) diagrams for the block and the
cylinder.
Calculate the tension in the string.
Determine the mass (M) of the cylinder.
A light string is wrapped around a solid cylinder, and a block of mass m 100 g hangs...
A cylinder with moment of inertia I about its center of mass, mass
m, and radius r has a string wrapped around it which is tied to the
ceiling (Figure 1) . The cylinder's vertical position as a function
of time is y(t).At time t=0 the cylinder is released from rest at a height h above
the ground.Part
BIn similar problems involving rotating bodies, you will often also
need the relationship between angular acceleration, ?, and linear acceleration, a. Find...
Investigation 1 - Connected Particles (Maximum Mark 45) A block mass M kg is resting on the horizontal top of a cube. The coefficient of friction between the block and the cube is u. Two strings are attached to the sides of the block. One string passes over a pulley and is attached to an object of mass m kg which is hanging freely a height h metres above the ground. The other string passes over another pulley on the...
5. A particle of mass m slides without friction and starting from rest down a block of mass M in which the surface is shaped into a quadrant of a circle of radius R. The block also slides without friction on a table top. Choose two suitable generalized coordinates a) Using the Lagrange-multiplier formalism, find the equations of motion of the mass and the block and the reaction force of the block on the mass (ie. the constraint force b)...
The solid cylinder and cylindrical shell in the figure have the
same mass, same radius, and turn on frictionless, horizontal axles.
(The cylindrical shell has lightweight spokes connecting the shell
to the axle.) A rope is wrapped around each cylinder and tied to a
block. The blocks have the same mass and are held the same height
above the ground. Both blocks are released simultaneously. Which
hits the ground first? Or is it a tie? Must explain why
The answer...
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...
1. +-7 points SerCP11132.P015 My Notes Ask Your Teacher A horizontal block-spring system with the block on a frictionless surface has total mechanical energy E40.4 J and a maximum displacement from equilibrium of 0.268 m. (a) What is the spring constant? N/m (b) What is the kinetic energy of the system at the equilibrium point? (c) If the maximum speed of the block is 3.45 m/s, what is its mass? kg (d) What is the speed of the block when...
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