A vehicle of mass 700kg is on a smooth horizontal plane. The brakes are applied when his speed is 72km/h and the vehicle stops after traveling 50m. Determine the intensity of the force exerted by the brakes
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- An X-ray machine makes an image of the internal organs by exposing the human body to the electromagnetic radiation with the wavelength of 10^-10 m. We call this electromagnetic radiation X-rays. Assuming that the speed of light is 3x10^8 m/s, what is the frequency of oscillations of the X-rays? Express your answer in Hertz (Hz).4. An electromagnet weighing 3,000 lb is at rest while holding an automobile of weight 2,000 lb in a junkyard. The electric current is turned off, and the automobile is dropped. Assuming that the crane and the supporting cable have an equivalent spring constant of 10,000 Ib/in.,find the following: (a) the natural Time period of vibration of the electromagnet, (b) the resulting motion of the electromagnet, and (c) the maximum tension developed in the cable during the motion Ans: T= 0.175 s, u(t)-0.2 Cos (35.92t), T= 5000 Ib maxDetermine the angle α , and then the intensity of the pull on the two cables Tca and Tcb, for which the pull is the smallest possible: a) on the BC cable. b) simultaneously on both cables Tip: Think about the triangle of forces.
- A ball of weight W= 400 kN rests upon a smooth horizontal plane and has attached to its center two strings AB and AC which pass over frictionless pulleys at B and C and carry loads P= 100 kN and Q= 200 kN, respectively. a) Determine the value of e that the string AC makes with the horizontal when the ball is in equilibrium. b) Compute the reaction between the ball and the plane. c) Calculate the tension of the string AC. Wz 400KN B Q= 200 kN P=100KNtwo blocks (m2>m1) with a mass of m1 and m2 stand on a frictionless surface placed on top of each other. The coefficient of static and kinetic friction between them is equal and given as u. The intensity of the acceleration of the reel was a when the blocks were connected together with a reel and rope, whose mass and friction were neglected, as in the figure, and pulled with a force of F. In this case; a) if the blocks do not shift relative to each other, find their acceleration in terms of those given. b) if the blocks are sliding relative to each other, find their acceleration in terms of those given. c) find the minimum Force F that must be applied for one block to shift relative to another. a M, p =0 M2A bat flying at 5.05 m/s is chasing an insect flying in the same direction. The bat emits a 39.8-kHz chirp and receives back an echo at 40.6 kHz. (Take the speed of sound in air to be v = 343 m/s.) (a) What is the speed of the insect? m/s(b) Will the bat be able to catch the insect? Yes No Explain.
- Where must the force R be applied so that its external effect on the bar ABC will be the same as the combined F2 = 310 N effects of Fi and F2? What is the R magnitude of R? Fi : 730 N TLOU 100 mm :00 mm 250 mm BA 3 kg weight is attached to a spring with constant k = 27 kg/m and subjected to an external force F(t) = – 21 sin(4t) . The weight is initially displaced 2 meters above equilibrium and given an upward velocity of 5 m/s. Find its displacement for t > 0, with y(t) measured positive upwards. y(t) %3DProblem 23: A firefighter, whose mass (including clothing and equipment) is m=�=89 kg, hears the alarm and slides down the pole with a constant downward acceleration of magnitude a=�=3.51 m/s2m/s2. Part (c) What is the magnitude, in newtons, of the force F�?
- A bat flying at 4.65 m/s is chasing an insect flying in the same direction. The bat emits a 39.9-kHz chirp and receives back an echo at 40.6 kHz. (Take the speed of sound in air to be v = 343 m/s.) (a) What is the speed of the insect? m/s(b) Will the bat be able to catch the insect? YesNo Explain.At one instant, a mass (m = 1.3 kg) is at the location m and attached to one end of a spring with a spring stiffness kg = 60 N/m and a relaxed length Lo = 0.22 m. The origin is located where the other end of the spring attaches to the ceiling. (a) Determine the force acting on the mass due to the spring. = N spring (b) Determine the net vector force acting the mass. net = NProblem 2: Special sections of roadway are sometimes paved with “rumble strips” to alert inattentive drivers. In a particular case the grooves are spaced L = 0.26 m apart and the depth of each groove is d = 0.35 cm. As you drive over this rumble strip, the tires of your car oscillate about their equilibrium positions with a frequency of f = 68.6Hz. Refer to the figure, which is not drawn to scale. Part (b) Find the vertical position of the tire, in centimeters, at the time t = 1.85 s. Part (c) With your tire oscillating at a frequency of f = 68.6 Hz and the distance between grooves L = 0.26 m, what is the speed of your car, in kilometers per hour?