A 10 kg mass hangs on a rope wrapped around a freely rotating 2.00 kg cylinder with a radius of 10.0 cm. Determine the tension in the rope. Use g = 9.8 m/s^2 and I = 1/2 mr^2
T= m(g-a)
T= 10*(9.8-a) -------1
T*r = I*a/r
T*0.1 = 0.5x2x0.12xa/0.1
T= a -------------2
T= 10(9.8-T)
T= 8.91 N
A 10 kg mass hangs on a rope wrapped around a freely rotating 2.00 kg cylinder...
A uniform cylinder of mass 3.0 kg and radius 10.0 cm
has a rope wrapped around its edge; a tension of 5.0 N
is
exerted on the rope. The cylinder rotates at a
constantly
increasing rate, starting from rest.
10DCH 1. A uniform cylinder of mass 3.0 kg and radius 10.0 cm has a rope wrapped around its edge; a tension of 5.0 N is exerted on the rope. The cylinder rotates at a constantly increasing rate, starting from rest....
A 12.0 kg object is attached to a cord that is wrapped around a
wheel of radius 10.0 cm. The acceleration of the object down the
frictionless incline is measured to be 2.00 m/s2. Assuming the axis
of the wheel to be frictionless, determine a) the tension in the
rope, b) the moment of inertia of the wheel, and c) the angular
speed of the wheel 2.00 s after it begins rotating, starting from
rest.
A 12.0 kg object is...
A small block of mass m2 hangs from a massless rope wrapped around the inner cylinder of a pulley with inner radius of R2. The moment of inertia of the entire pulley is I = 4m2(R2)2. Another block m1= m2 is connected to the outer cylinder of the pulley via a horizontal massless rope wrapped around the outer cylinder of the pulley with radius R1=2R2. The coefficient of kinetic friction between the block and the horizontal surface is μk =...
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 thin, massless rope is wrapped around a cylinder (I=MR^2/2) with radius .4m. The rope is attached to a hanging bag of stuff (m=.1kg). If the stuff accelerates downward at 1.0m/s^2 what is the mass of the wheel? Why is tension not the weight of the stuff?
A bucket of water of mass 14.4 kg is suspended by a rope wrapped around a windlass, that is a solid cylinder with diameter 0.350 m with mass 13.0 kg . The cylinder pivots on a frictionless axle through its center. The bucket is released from rest at the top of a well and falls a distance 10.0 m to the water. You can ignore the weight of the rope. Take the free fall acceleration to be g = 9.80...
An m = 13.6 kg mass is attached to a cord
that is wrapped around a wheel of radius r = 11.3 cm (see the
figure below).
The acceleration of the mass down the frictionless incline is
measured to be a = 1.98 m/s2. Assuming the axle of the
wheel to be frictionless, and the angle to be theta=
33.0o determine the tension in the rope.
Determine the moment of inertia of the wheel.
Determine angular speed of the wheel...
An m = 13.3 kg mass is attached to a cord that is wrapped around a wheel of radius r = 11.9 cm (see the figure below). The acceleration of the mass down the frictionless incline is measured to be a = 2.00 m/s2. Assuming the axle of the wheel to be frictionless, and the angle to be A = 33.2° determine the tension in the rope. Submit Answer Tries 0/8 Determine the moment of inertia of the wheel. Submit...
A rope of negligible mass is wrapped around a 225-kg solid cylinder of radius 0.400 m. The cylinder is suspended several meters off the ground with its axis oriented horizontally, and turns on that axis without friction. (a) If a 75.0-kg man takes hold of the free end of the rope and falls under the force of gravity, what is his acceleration? m/s2 (b) What is the angular acceleration of the cylinder? rad/s2
A bucket of water of mass 15.7 kg is suspended by a rope wrapped around a windlass, that is a solid cylinder with diameter 0.280 m with mass 11.4 kg . The cylinder pivots on a frictionless axle through its center. The bucket is released from rest at the top of a well and falls a distance 10.6 m to the water. You can ignore the weight of the rope. Part A What is the tension in the rope while...