Question

Notify Me Bookmark

The 0.1−1 b projectile A is subjected to a drag force of magnitude kv2, where the constant k = 0.002 lb−sec2/ft2. This drag force always opposes the velocity v. At the instant depicted, v = 100 ft/sec, θ = 45∘, and r = 400 ft. Determine the corresponding values of r and θ.

The 0.1−1 b projectile A is subjected to a drag force of magnitude kv2, where the constant k = 0.002 lb−sec2/ft2. This drag force always opposes the velocity v. At the instant depicted, v = 100 ft/sec, θ = 45∘, and r = 400 ft. Determine the corresponding values of r and θ.

Image text
The 0.1 − 1 b projectile A is subjected to a drag force of magnitude k v 2 , where the constant k = 0.002 l b − s e c 2 / f t 2 . This drag force always opposes the velocity v . At the instant depicted, v = 100 f t / s e c , θ = 45 ∘ , and r = 400 f t . Determine the corresponding values of r and θ .

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

As shown in Figure 3(a), a wooden block B with mass mB = 2.4 kg on a rough inclined plane is connected to a massless spring ( k = 160 N/m ) by a massless cord passing over a pulley P of radius R = 0.25 m and mass Mp = 0.60 kg. The angle of the inclined plane is θ = 37∘ and the coefficients of static and kinetic frictions are μs = 0.35 and μk = 0.30 respectively. The frictional force at the axle of the pulley is negligible. The pulley can be regarded as a solid disk. (a) The system is at rest and in this case, block B is on the verge of sliding down. Figure 3(a) i. Indicate (with labeled arrows) the forces acting on the pulley and the block. ii. Calculate the tension in the string and the extension of the spring. (You can assume that the tensions in the cord on either side of the pulley P are the same for this part.) (b) As shown in Figure 3(b), another wooden block A of mass mA = 1.2 kg made of the same material as block B is released from rest. It slides down a distance l down the rough inclined plane and collides with block B. The two blocks stick together and move down the incline with a common velocity v = 0.80 m/s immediately after collision and the pulley rotates. The cord does not stretch and does not slip on the pulley. Figure 3(b) i. Determine the distance l. ii. Determine the acceleration of the two blocks at the moment they move down together and the pulley starts to rotate. iii. Determine how much further down the slope the two blocks move together after they collide before the two blocks come to a momentary rest.
Solution
0 0

The 100−lb block is stationary at time t = 0, and then it is subjected to the force P shown. Note that the force is zero for all times beyond t = 20 sec. If μs = 0.6, μk = 0.4, and θ = 25∘, determine the velocity v of the block at time t = 25 sec. Also, calculate the time t at which the block comes to rest again. (v = 89.4 ft/sec, the block never stops)
Solution
0 0

In downhill speed skiing a skier is retarded by both the air drag force on the body and the kinetic frictional force on the skis. Suppose the slope angle is θ = 42.0∘, the snow is dry snow with a coefficient of kinetic friction μk = 0.0430, the mass of the skier and equipment is m = 87.0 kg, the cross-sectional area of the (tucked) skier is A = 1.30 m2, the drag coefficient is C = 0.160, and the air density is 1.20 kg/m3. (a) What is the terminal speed? (b) If a skier can vary C by a slight amount dC by adjusting, say, the hand positions, what is the corresponding variation in the terminal speed? Give your answer in terms of the given values and dC (need derivative for given values). (a) Number Units (b) Number dC Units
Solution
0 0