by strings to a vertical, rotating rod. The strings a e upper string is 24.0 cm long and has a tension of 30.3 N, and it makes an angle 02 wer string makes an angle 01 = 52.0° with the rod. (a) What is the tension in the lower
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- A 1.05 kg mass is attached to a spring of force constant 10.8 N/cm and placed on a frictionless surface. By how much will the spring stretch if the mass moves along a circular path of radius 0.495 m at a rate of 1.96 revolutions per second?A 1.01 kg mass is attached to a spring of force constant 10.4 N/cm and placed on a frictionless surface.By how much will the spring stretch if the mass moves along a circular path of radius 0.520 m at a rate of 1.82 revolutions per second?A 1.19 kg ball is connected by means of two ideal strings to a horizontal, rotating rod. The strings are tied to the rod and are taut. The right string is 25.0 cm long and has a tension of 29.5 N, and it makes a (theta 2) 53.0° angle with the rod, while the left string makes a (theta 1) 60.0° angle with the rod. At the instant shown the ball is at its highest point. What is the tension in the left string? (Given illustration below)
- A man stands a distance d = 0.275 m from the left end of a platform as shown in the figure. Assume the platform is uniform, with length L = 2.00 m and mass 35.0 kg, and the weight of the man is 690 N. T1 = 420.37 N , T2 = 770.12 N, T3 = 322.003 N (b). What If? The man now begins to walk to the right. If each of the cables can support a maximum tension of 800 N, which cable fails first? At what location does this occur (measured in m from the left end of the platform)?Three masses are hanging vertically as shown in the drawing. Assume the pulleys are frictionless and the system is in static equilibrium. m1= 95.0 g m3= 75.0 g theta2= 40.0 degrees What are the values of m2 and theta1?A 0.150 kg rubber stooper is attached to the end of 1.00 m string and is swung in a circle. 1. If the stopper makes 0.85 rev/s, what is the force the string exerts on the slope? 2. If the rubber stopper is swung 2.3 m above the ground and released, how far will the stopper travel horizontally before hitting the ground?
- A tow truck is pulling a car out of a ditch by means of a steel cable (Y = 2.0 x 1011 N/m2) that is 9.70 m long and has a radius of 0.466 cm. When the car just begins to move, the tension in the cable is 840 N. How much has the cable stretched?A nylon siring has mass 5.50 g and length L = 86.0 cm. The lower end is tied to the floor, and the upper end is tied to a small set of wheels through a slot in a track on which the wheels move (Fig. P18.76). The wheels have a mass that is negligible compared with that of the siring, and they roll without friction on the track so that the upper end of the string is essentially free. Figure P18.76 At equilibrium, the string is vertical and motionless. When it is carrying a small-amplilude wave, you may assume the string is always under uniform tension 1.30 N. (a) Find the speed of transverse waves on the siring, (b) The string's vibration possibilities are a set of standing-wave states, each with a node at the fixed bottom end and an antinode at the free top end. Find the node-antinode distances for each of the three simplest states, (c) Find the frequency of each of these states.In the figure, horizontal scaffold 2, with uniform mass m2 = 29 kg and length L2 = 2.3 m, hangs from horizontal scaffold 1, with uniform mass m1 = 54 kg. A 17 kg box of nails lies on scaffold 2, centered at distance d = 0.80 m from the left end. What is the tension T in the cable indicated?
- Calculate the weight of the solid generated by the line segment bounded by points A (1, 4) m and B (5, 2) m when it rotates around the X axis, considering that the density is ρ = x in kg / m3. A) 2646.583 NB) 269.784 NC) 1150.517 ND) 117.286 NA fisherman has caught a fish on his pole, and to keep the pole steady he has to apply an upward force of F2 = 215 N at an angle of 55.5° with respect to the pole (see figure). The length of his pole is 3.1 m, and he is holding it a distance 0.25 m from the end, where he is applying a downward force F1. F2 = 215 Nθ = 55.5°L = 3.1 md = 0.25 m a) With how much force, F1, in newtons, does he have to push straight downward on the end of his pole to keep the pole from moving? You may assume the pole is massless. b)What is the mass of the fish on the end of the pole, in kilograms?Assuming that the system is in equilibrium, find the value of m3, knowing that: r1=1.6 m r2=0.8 m r3=1.7 m m1=11.2 kg m2=4.7 kg