The bird perched on the swing in the figure has a mass of 64 g, and the base of the swing has a mass of 185.6 g. Assume that the swing and the bird are originally at rest and that the bird then takes off horizontally at 2.05 m/s. The acceleration of gravity is 9.8 m/s 2 . If the base can swing freely (without friction) around the pivot, how high will the base of the swing rise above its original level? Answer in units of m.
The bird perched on the swing in the figure has a mass of 64 g, and...
A uniform rod of mass M = 5.14kg and length L = 1.01m can pivot
freely (i.e., we ignore friction) about a hinge attached to a wall,
as seen in the figure below.
The rod is held horizontally
and then released. At the moment of release, determine the angular
acceleration of the rod. Use units of rad/s^2.
Determine the linear acceleration of the tip of the rod. Assume
that the force of gravity acts at the center of mass of...
A bullet of mass m = 40 g, moving horizontally with speed v, strikes a clay block of mass M=1.33 kg that is hanging on a light inextensible string of length L=0.767. The bullet becomes embedded in the block, which was originally at rest. What is the smallest value of vv which would cause the block-on-a-string to swing around and execute a complete vertical circle?
1. A uniform rod of mass M = 5.01kg and length L = 1.18m can
pivot freely (i.e., we ignore friction) about a hinge attached to a
wall, as seen in the figure below.
2. Determine the linear acceleration of the tip of the rod.
Assume that the force of gravity acts at the center of mass of the
rod, as shown.
Please show work for both questions
radusn2. The rod is held horizontally and then released. At the moment...
A bullet of mass m = 40 g, moving horizontally with speed v, strikes a clay block of mass M = 1.73 kg that is hanging on a light inextensible string of length = 0.774. The bullet becomes embedded in the block, which was originally at rest. What is the smallest value of v which would cause the block-on-a-string to swing around and execute a complete vertical circle? Please enter a numerical answer below. Accepted formats are numbers or "e"...
A uniform rod of mass M = 5.02kg and length L = 1.08m can pivot
freely (i.e., we ignore friction) about a hinge attached to a wall,
as seen in the figure below.
The rod is held horizontally and then released. At the moment of
release, determine the angular acceleration of the rod. Use units
of rad/s^2.
Mg L L2
A block that has a mass M = 500g is hanging at rest on a light string. A projectile with a mass m = 15g moving horizontally with a velocity of 255m/s strikes M and sticks in it. The block and its projectile swing up. How high does the center of mass rise? A. 1.4 m B 3.2 m C .33 m D .83 m E 2.8 m
3. As shown on the right, a thick ring with a mass of 200.0 grams has very low mass spokes and a low mass central hub supporting it on a very low friction bearing. String of negligible mass is tied and wrapped around the outer edge so it can freely M, -200.0 grams R, 5.00 cm R, 10.00 em unwind, but not slip. Attached to the end of the string is a mass of 100.0 grams. The outer radius of...
The car shown has a mass of 2,000 kg and a center of mass at G.
Determine the car’s acceleration if the “driving” wheels in the
back are always slipping, whereas the front wheels freely rotate.
The coefficient of kinetic friction between the wheels and the road
is 0.25.
0.3 m " 1.25 m 0.75 m
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