In the opposite figure, a ball of mass 1.5kg of rubber is attached to the end of a rope and then rotated in the vertical plane in the form of a circular path of radius 0.8m with a constant frequency. If the linear velocity of the ball is 40m / s, find the value of the tension in the rope at point B? A The movement is T vertical
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- Keratinocytes are the most common cells in the skins outer layer. As these approximately circular cells migrate across a wound during the healing process, they roll in a way that reduces the frictional forces impeding their motion. (a) Given a cell body diameter of 1.00 105 m (10 m), what minimum angular speed would be required to produce the observed linear speed of 1.67 107 m/s (10 m/min)? (b) How many complete revolutions would be required for the cell to roll a distance of 5.00 103 m? (Because of slipping as the cells roll, averages of observed angular speeds and the number of complete revolutions are about three times these minimum values.)One end of a cord is fixed and a small 0.550-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 1.50 m, as shown in the figure below. When ? = 17.0°, the speed of the object is 6.00 m/s. At this instant, find the magnitude of the tension in the string.The maximum static coefficient of friction between the tires of a 2000 kg car and the road is lsmax 0.25. What is the maximum speed with which the car can make a turn of radius 50 m without skidding?
- A 0.2-kg ball is attached to a rope and is swung in a horizontal surface that has negligible friction. The circular path is moves in has a radius of 0.6 m. If the ball makes 150 revolutions per minute, the tension force of the string is:Q. A bead Mass freely m Slides frictionless circular rotates. about a with a on a wire in a f radius lá that horizontol p lane point on the Cirular wire Constant anqular lelocty a Find the equation thed Also shaw tha Motion of Bead by egmage's bead oscillates as a penduleum f length l-gz mOne end of a cord is fixed and asmall 0.500-kg object is attached to theother end, where it swings in a section of avertical circle of radius 2.00 m, as shown inFigure P7.19. When θ = 20.0°, the speed ofthe object is 8.00 m/s. At this instant, find(a) the tension in the string, (b) the tangentialand radial components of acceleration,and (c) the total acceleration. (d) Isyour answer changed if the object is swinging down towardits lowest point instead of swinging up? (e) Explain youranswer to part (d).
- An 8.0kg object is attached to two 25cm long strings as shown in the figure below. The object is then swung in a horizontal circle at 1.0m/s. Calculate the tension in the top string.Pulley A has a weight of 30 lb and a centroidal radius of gyration k = 0.60 ft. (Figure 1) Figure 0.8 ft 0.4 ft B A S 0.2 ft una C Part A Determine the speed of the 24-1b crate C at the instant s = 10 ft. Initially, the crate is released from rest when s = 5 ft. The pulley at P "rolls" downward on the cord without slipping. For the calculation, neglect the mass of this pulley and the cord as it unwinds from the inner and outer hubs of pulley A. Express your answer to three significant figures and include the appropriate units. _O xa HA Xb vc= 17.834 X.10n ft S (X Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining < Return to Assignment Provide Feedback ? www PA small block with amass of 0.0600 kg is attached to acord passing through a hole ina frictionless, horizontal surface. The block is originallyrevolving at a distance of 0.40 m fromthe hole with a speed of 0.70 m/s.The cord is then pulled from below,shortening the radius of the circle inwhich the block revolves to 0.10 m.At this new distance, the speed ofthe block is 2.80 m/s. (a) What is thetension in the cord in the original situation, when the block has speedv = 0.70 m/s? (b) What is the tension in the cord in the final situation,when the block has speed v = 2.80 m/s? (c) How much work was doneby the person who pulled on the cord?
- Pulley A has a weight of 30 lb and a centroidal radius of gyration kB = 0.60 ft. (Figure 1) Figure 0.8 ft 0.4 ft 7 B AMA A P0.2 ft munaunant C 1 of 1 Determine the speed of the 24-1b crate C at the instant s = 10 ft. Initially, the crate is released from rest when s= 5 ft. The pulley at P "rolls" downward on the cord without slipping. For the calculation, neglect the mass of this pulley and the cord as it unwinds from the inner and outer hubs of pulley A. Express your answer to three significant figures and include the appropriate units. μA vc= 17.834 ft S ?IP A popular ride at amusement parks is illustrated in the figure ( Eigure 1). In this ride, people sit in a swing that is suspended from a rotating arm. Riders are at a distance of 12 m from the axis of rotation and move with a speed of 35 mi/h. Figure 12 m 1 of 1 T Part A Find the centripetal acceleration of the riders. Express your answer using two significant figures. G| ΑΣΦ 5 Submit Part B Request Answer Find the angle the supporting wires make with the vertical. Express your answer using two significant figures. 195] ΑΣΦΑ Submit Request Answer ?One end of a cord is fixed and a small 0.550-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 3.00 m as shown in the figure below. When - 27.0°, the speed of the object is 4.50 m/s. At this instant, find each of the following. @ (a) the tension in the cord T 5.09 x Your response differs from the correct answer by more than 10%. Double check your calculations. N (b) the tangential and radial components acceleration m/s2 inward. m/s2 downward tangent to the circle (c) the total acceleration a total m/s2 inward and below the cord at | | 0 (d) Is your answer changed if the object is swinging down toward its lowest point instead of swinging up? Ⓒ Yes No (e) Explain your answer to part (d).