A small fly of mass 0.28 g is caught in a spider's web. The web oscillates predominantly with a frequency of 4.3 Hz at what frequency would you expect the web to oscillate if an insect of mass 0.60 g were trapped?
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- Problem 4. Hummingbirds use their long tongues to collect floral nectar (Fig. 4a-b). The distal portion of the bird's tongue consists of thin keratinized membrane that spontaneously folds into two conjoining tubes when extended (Fig. 4c-d). Additionally, hummingbirds have no muscular control over the shape of its tongue and active suction is impossible; instead, they rely on capillarity to drive up the nectar. Once the tongue is loaded with nectar, it is retracted into the bill for ingestion. Given nectar has a density of p = 1060 kg/m³, surface tension of y = 0.052 N/m, the contact angle between the hummingbird's tongue and nectar is 0 = 30°, determine the maximum volume of nectar the hummingbird can imbibe each time it dips into the jar (Fig. 5). (a) (b) (c) 50 ms (d) Nectar Cross section Posterior view Air Figure 4: (a) Hummingbirds drink nectar, a sweet liquid inside certain flowers. (b) Anatomy of hummingbirds. (c) Hummingbird's tongue spontaneuously folds into two conjoining…An industrial device with a weight sensitive to the weight of one ton is transported by a heavy vehicle. The device is mounted on a special base that when moving the vehicle, vibrates with a range of 5 cm with an angular frequency of 220rad / sec.Withstands about the stiffness of the desired base so that 80% of the vibration transmitted to the device guide TR = 0.2In a railroad classification yard, a 76-Mg freight car moving at 1.1 m /s at A encounters a retarder section of track at B which exerts a retarding force of 36 kN on the car in the direction opposite to motion. Over what distance x should the retarder be activated in order to limit the speed of the car to 3.2 m /s at C? 196 m 3.2 m B (Vertical scale exaggerated) C Part 1 Calculate the kinetic energies at A and C; Answers: TA = i kg m?/s? Tc = i kg m?/s?
- Hydrology-DILUTION TECHNIQUE A 20 g/L solution of fluorescent tracer was discharged into a stream at a constant rate of 15 cm^3/s. The background concentration of the dye in the stream water was found to be zero. At a downstream section sufficiently far away, the dye was found to each an equilibrium concentration of 7 part per billion estimates the discharge of the stream98% ?. l3Ī 7 I 16:58 Month 1.pdf Q1:- The coplanar force system shown in Figure below is subjected to a couple moment (M) and three forces. Two forces are known in magnitude and direction and shown in the Figure (150 N and 60 N). The third force is passing through the center of the semi-circle (point C). The resultant of all these forces is a single couple (750 N.m) counterclockwise. a) Determine the magnitude and direction of the third force. b) Determine the magnitude of moment (M). Replace the couple (M) by two vertical equal forces acting at D and E. d) Replace the force (150 N) by and single force at D and a couple. Radius = 5 m 150 N E В M 60 N 4 A F. Q2:- Determine all forces acting on member DEF of the frame shown in Figure below:- 150 Ib/ft F3.0 m -3.0 mBeam Reaction: Calculate the reactions at points A and B for beams shown. Problem 1. 6 k/ft 24' (a)
- ***** Glycerine (specific weight 1260 kg/m³, dynamic viscosity 8 x 10-2 kg-s/m²) is spread freely to a thickness of 1 mm between a bottom stationary plate and a top moveable plate of 10 cm² area. The top plate is to be moved at a uniform speed of 1m/s. The force to be exerted on the top plate is:HW 1) What is the maximum strength of the B field in an electromagnetic wave that has a maximum E-field strength of 1000 V/m? 2) The beam from a small laboratory laser typically has an intensity of about 1.0 x 10-3 W/m2. Assuming that the beam is composed of plane waves, calculate the amplitudes of the electric and magnetic fields in the beam. 3) A 60-kW radio transmitter on Earth sends its signal to a satellite 100 km away (below). At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 90 kW? 1/10/2022 Dr AQEEL SAUM Ralub) A 50.0 gm object connected with an amplitude of 4.0 cm on a frictionless, horizontal surface. Find i) the total energy of the system. ii) the speed of the object when its position is 1.0 cm. iii) kinetic energy and potential energy when its position is 3.0 cm. a) What are forced vibrations? Examine the effect of a periodic force on the motion of a damped oscillator. 2. b) The amplitude b of forced vibration in a mechanical system is given by fo [(m-@?)² + 4r²oz Show that for i) o> 0o, the response is independent of the spring constant of the system. 1| M-75354 1720 3. a) With the appropriate diagram, explain the working of a Michelson's interferometer and derive the expression for bright and dark fringes. b) In Michelson's interferometer a thin plate is introduced in the path of one of the beams and it is found that 50 band crosses the line of observation. If the wavelength of light used in 5896Å and u= 1.35, determine the thickness of the plate. 4. a) Explain the Einstein's theory…
- A projectile is fired with a speed of 60m/s at an angle of 60 degrees from the ground surface. A second projectile is then fired with the same speed 0.50 seconds later. Find the angle that the second projectile must be fired so that the two particles will collide. 53.10 deg. 57.57 deg. (C) 42.53 deg. 46.28 deg.The relationship between speed and density on a highway highway is governed by Uf = 100-018K U₁ Thursday 2-4 LECTURE 1 w At a flow of loovehlhr a slow moving truck with a Speed of 20km Ihr enters the road & exits after 800m. estimate i] Speed of the Shockwaves 11] Distance the platoon will reach STIGA 02 Man on attit odony (veys ra Mun QueA 30 g/l solution of a fluorescent tracer was discharged into a stream at a constant rate of 12 cm³/s. The background concentration of the dye in the stream water was found to be zero. At a downstream section sufficiently far away, the dye was found to reach an equilibrium concentration of 7 parts per billion. Estimate the stream discharge m³/s. (1 ppb = 1x10-6 g/L)