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A dead tree is initially stationary and there is a 30.0-degree angle between the tree and the vertical. The roots finally give way and the tree topples to the ground (rotating on an axis that is parallel to the level ground and intersecting the base of the tree perpendicularly through the base of the tree. The length of the tree is 30.0 m. How fast is the top of the tree moving (in m/s) just before it hits the ground? Model the tree as straight, rigid rod, and ignore friction and air resistance.
How various revolutions per minute would a 21 -diameter Ferris wheel need to make for the passengers to feel "weightless" at the topmost point.
In a popular amusement park ride, a rotating cylinder of radius 4.00 m is set in rotation at an angular velocity of 6.00 rad/s. The floor then drops away, leaving the riders suspended against the wall in a vertical position.
A 61 kg speed skater with the velocity of 16 m/s comes into a curve of 18 m radius. How much friction should be exerted between skates and ice to negotiate the curve.
A man pushes a lawnmower for 13.1 m along a handle that makes a 28.2° angle with the ground. He pushes with a force of 42.8 N even as the force of friction between the lawnmower and the ground is 13.7 N.
Arlene is to walk across a high wire strung horizontally between two buildings 11.0 m apart. The sag in the rope when she is at the midpoint is 10.0°. If her mass is 56.0 kg, what is the tension in the rope at this point.
A dog trots 3.6 meters east and 5.0 meters north. What are the magnitude and direction of the dog's displacement with respect to the original position.
Forming an equation.
what average power was developed. A curve of radius 70 m is banked for a design speed of 110 km/h. If the coefficient of static friction is 0.30 (wet pavement), at what range of speeds can a car safely make the curve.
A railroad car with a mass of 2.46 x 10^4 kg moving at 3.25 m/s collides and joins with two railroad cars already joined together, each with the similar mass as the single car and initially moving in the same direction at 1.49 m/s.
Find out the edge dimension of each cube
According to the Guinness Book of World Records (1990 edition, p. 169), the highest rotary speed ever attained was 2010 m/s (4500 mph). The rotating rod was 15 cm (5.9 in) long. Imagine the speed quoted is that of the end of the rod.
A frictionless block of mass 1.95 is attached to an ideal spring with force constant 340 . At the spring is neither stretched nor compressed and the block is moving in negative direction at a speed of 12.6.
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