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1. The helicopter can produce a maximum downward air speed v = 24m/s in a slipstream of diameter D = 9 m. Knowing that the weight of the helicopter and crew is 15 kN and assuming air density ρ= 1.21 kg/m3 , determine the maximum load that helicopter can lift while hovering in midair. (29.3 kN)
2. In the helicopter a vertical tail rotor is used to prevent rotation of the cab as the speed of main blades is changed. Assuming that the angular velocity of the cab remains zero. determine the force exerted by the tail rotor when the speed of the main blades is changed uniformly from 180 to 240 rpm in 12 s. Also determine the final horizontal velocity of the cab which has a mass of 567 kg and is initially at rest. (64.9 N ; 1.17 "z/s)
3. A uniform cylinder A has a mass m = 3 kg , radius r = 150 mm , and can roll without sliding on a cart C of mass M = 5 kg. Cylinder A is attached to a spring AB of stiffness (constant) k = 100 N/m in as shown. The system is released from rest when the spring is stretched Δx = 20 mm. Neglecting wheel friction, determine the velocity of the cart and the angular velocity of the cylinder when the spring first reaches its undeformed state. (40.8 mm, ; 0.726 f1)
4. A thin homogeneous rod of mass m= 0.8 kg is used to form the shaft shown. Knowing that the m 100 mm shaft rotates with a constant angular velocity ω = 20 s-1, determine the dynamic reactions at supports A and B. [A = (2.58 N)k : B = (-2.58 N)kl.
An electron with kinetic energy 3.10keV circles in a plane perpendicular to a uniform magnetic field. The orbit radius is47.0cm. Find the speed of the electron. Find the magnetic field.
A light ray in air is incident on a water (n = 1.333) surface at a 65.0° angle of incidence. find the angle of reflection and refraction
A 0.142kg baseball has a terminal speed of 42.5m/s. If abaseball experiences a drag force of R=CV^2, what is the value ofthe constant C, What is its speed just before it hits the ground
an airplane flies 120 km at a constant altitude in a direction 30.0deg north of east. a wind is blowing that results in
a sled of mass 1 kg has an initial speed of 1.00m/s across a horizontal surface. the force of friction between the sled and surface is 0.2N. What is the speed of the sled after it ha traveled a distance of 2.00m
The electric potential in a region in a space is given by V(x) = 3xz2 + x2y + yz (in volts). Find the electric field in this region at the coordinate (2,4,3) in meters
A large fish hangs from a spring balance supported from the roof of an elevator. What will the balance read if the elevator cable breaks
An object in simple harmonic motion has an amplitude of 0.377 m and an oscillation period of 0.620 s. Determine the maximum speed of the motion
Nathaniel is driving his sports car down a four-lane highway at 40m/s. He comes up behind a slow-moving dump truck and decides to pass it in the left-hand lane. If Nathaniel can accelerate at 5m/s/s, how long will it take for him to reach the spee..
A ball of mass 0.350 kg is swung at the end of a 2.40m string such that the plane of its path is horizontal, find the angle which the string makes with the verticle
q1. a 25- sample of an ideal gas with is at 250 and 50. the gas is compressed isothermally to one-third of its original
How many electrons would have to be removed from one sphere and added to the other to cause an attractive force between the spheres of magnitude 1.00 x 10^4 N (roughly one ton)? Assume that the spheres may be treated as point charges.
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