Question-
Assume a 67-kg boy and a 42-kg girl utilizes a massless rope in a tug-of-war on an icy, resistance-free surface. If the acceleration of the girl toward the boy is 3.0 m/s2, find the magnitude of the acceleration of the boy toward the girl.
Question-
A hollow sphere of radius .15 m, with rotational inertia I=.04 about a line through its centre of mass, rolls with no slipping up a surface inclined at 30 to the horizontal. At an assured initial position, the sphere's total kinetic energy is 20 J.
a) Define how much of this initial kinetic energy is rotational?
Question-
A gyroscope contains a cylinder of mass 4kg, radius 1.6cm and length 7.7cm, which is free to rotate about its axis. Compute the moment of inertia of the cylinder for rotations about its axis
Question-
Two people, one twice as massive as the other, try to play tug of war on an almost frictionless, icy surface, level. When they begin to tug and they are 12 m apart. They tug by pulling the rope hand over hand, until their hands meet along the rope and how far does the heavier person slide?
Question-
Evel Knievel attempts to jump a motorcycle across a chasm in the Grand Canyon that is 375 feet wide. If he hits a 35-degree ramp at 130mph, will he create it to the other side? Show why or why not.
Question-
A laboratory projectile launcher ("spring cannon") is set at 0 degrees elevation and secures at a height of 1.25 meters above the floor. The projectile is launched and lands on the floor 3.15 meters away. Decide where the projectile will land if the launcher is angled at 37 degrees. (Suppose the Sy of the launcher muzzle is also raised by 4 cm.)
Question-
The friction between the floor and the block depends on velocity? Ffr(v) = mg(alpha+betav) where alpha, beta are constants.
Assume F0 > mg?.
(A) Calculate v(t), with v(0) = 0.
(B) Sketch a graph of v versus t.
(C) Calculate the time t1/2, when the velocity of the block is one-half of the asymptotic velocity? Calculate t1/2 if beta = 0.1 sm1.
Question-
A long diesel freight train is travelling uphill at a speed of 5.0 m/s on a straight track. As it approaches a tunnel in a shear vertical wall, the engineer provides a long steady blast of the horn, whose fundamental frequency is 340 cycles/second. Both the horn itself and its echo from the wall are heard a) by the engineer; b) by a person on the ground near the caboose. How many beats per second do all people hear?