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北京梓桢国际教育内部教学资料 报班电话登陆公司网站可以免费下载学习资料 各个教室常年免费答疑,自习 教室地址:1 都市网景,2 远洋沁山水,3 潞河名苑 - 1 - as 物理历年物理历年 cie 考试真题真题分类考试真题真题分类 (2008 至至 2011) 主编主编 吴梓桢吴梓桢 北京市梓桢北京市梓桢 alevel 培训中心培训中心 (创立于(创立于 2004) 7 年打造专业年打造专业 alevel 课外培训机构课外培训机构 s = q c p = r ; s = q d p = r = s = q 6 a ball is falling at terminal speed in still air. the forces acting on the ball are upthrust, viscous drag and weight. (08s) what is the order of increasing magnitude of these three forces? a upthrust viscous drag weight b viscous drag upthrust weight c viscous drag weight upthrust d weight upthrust viscous drag 7 (d) use a vector triangle to represent forces in equilibrium 8 a street lamp is fixed to a wall by a metal rod and a cable. (10w) 北京梓桢国际教育内部教学资料 报班电话登陆公司网站可以免费下载学习资料 各个教室常年免费答疑,自习 教室地址:1 都市网景,2 远洋沁山水,3 潞河名苑 - 33 - which vector triangle represents the forces acting at point p? 9 two rigid rods, xz and yz, are fixed to a vertical wall at points x and y. a load of weight w is hung from point z. (08s) the load is not moving. which diagram shows the forces acting at point z? 10 the diagrams show two ways of hanging the same picture. (09w) 北京梓桢国际教育内部教学资料 报班电话登陆公司网站可以免费下载学习资料 各个教室常年免费答疑,自习 教室地址:1 都市网景,2 远洋沁山水,3 潞河名苑 - 34 - in both cases, a string is attached to the same points on the picture and looped symmetrically over a nail in a wall. the forces shown are those that act on the nail. in diagram 1, the string loop is shorter than in diagram 2. which information about the magnitude of the forces is correct? a 21 rr 21 tt b 21 rr 1 t 2 t c 1 r 2 r 1 t 2 t d 1 r 2 r 21 tt 11 the diagram shows a rope bridge that a student makes on an adventure training course. the student has a weight w. (10w) which formula gives the tension t in the rope? 12 北京梓桢国际教育内部教学资料 报班电话登陆公司网站可以免费下载学习资料 各个教室常年免费答疑,自习 教室地址:1 都市网景,2 远洋沁山水,3 潞河名苑 - 35 - 13 北京梓桢国际教育内部教学资料 报班电话登陆公司网站可以免费下载学习资料 各个教室常年免费答疑,自习 教室地址:1 都市网景,2 远洋沁山水,3 潞河名苑 - 36 - (f) show an understanding that a couple is a pair of forces that tends to produce rotation only (g) define and apply the moment of a force and the torque of a couple (h) show an understanding that, when there is no resultant force and no resultant torque, a system is in equilibrium (i) apply the principle of moments. moments 14 the diagram shows two pulley wheels connected by a belt. (09w) wheel q is driven by a motor and rotates clockwise at a constant rate. wheel q puts tension in the top portion of the belt, which in turn drives the wheel p. the lower portion of the belt is slack and has no tension. the weight of the belt and frictional forces are negligible. the diameter of p is 150 mm. the diameter of q is 100 mm. the torque applied to q is 3.0 n m. what is the tension in the belt and the torque on wheel p? 15 a rigid l-shaped lever arm is pivoted at point p. (10w) 北京梓桢国际教育内部教学资料 报班电话登陆公司网站可以免费下载学习资料 各个教室常年免费答疑,自习 教室地址:1 都市网景,2 远洋沁山水,3 潞河名苑 - 37 - three forces act on the lever arm, as shown in the diagram. what is the magnitude of the resultant moment of these forces about point p? a 15 n m b 20 n m c 35 n m d 75 n m 16 a spanner is used to tighten a nut as shown. (10w) a force f is applied at right-angles to the spanner at a distance of 0.25 m from the centre of the nut. when the nut is fully tightened, the applied force is 200 n. what is the resistive torque, in an anticlockwise direction, preventing further tightening? a 8 n m b 42 n m c 50 n m d 1250 n m 17 a uniform ladder rests against a vertical wall where there is negligible friction. the bottom of the ladder rests on rough ground where there is friction. the top of the ladder is at a height h above the ground and the foot of the ladder is at a distance 2a from the wall. (08s) the diagram shows the forces which act on the ladder. which equation is formed by taking moments? a w a + f h = 2w a b f a + w a = f h c w a + 2w a = f h d w a 2w a = 2f h 北京梓桢国际教育内部教学资料 报班电话登陆公司网站可以免费下载学习资料 各个教室常年免费答疑,自习 教室地址:1 都市网景,2 远洋沁山水,3 潞河名苑 - 38 - 18 couple 19 which pair of forces acts as a couple on the circular object? (08w) 20 two parallel forces, each of magnitude f, act on a body as shown. (10w) what is the magnitude of the torque on the body produced by these forces? a f d b f s c 2f d d 2f s 21 a spindle is attached at one end to the centre of a lever 1.20 m long and at its other end to the centre of a disc of radius 0.20 m. a cord is wrapped round the disc, passes over a pulley and is attached to a 900 n weight. 北京梓桢国际教育内部教学资料 报班电话登陆公司网站可以免费下载学习资料 各个教室常年免费答疑,自习 教室地址:1 都市网景,2 远洋沁山水,3 潞河名苑 - 39 - what is the minimum force f, applied to each end of the lever, that could lift the weight? a 75 n b 150 n c 300 n d 950 n 22 23 24 北京梓桢国际教育内部教学资料 报班电话登陆公司网站可以免费下载学习资料 各个教室常年免费答疑,自习 教室地址:1 都市网景,2 远洋沁山水,3 潞河名苑 - 40 - 北京梓桢国际教育内部教学资料 报班电话登陆公司网站可以免费下载学习资料 各个教室常年免费答疑,自习 教室地址:1 都市网景,2 远洋沁山水,3 潞河名苑 - 41 - chapter 3 forces(大题)(大题) (h)show an understanding that, when there is no resultant force and no resultant torque, a system is in equilibrium (d) use a vector triangle to represent forces in equilibrium (i) apply the principle of moments. 1 (a) state the two conditions that must be satisfied for a body to be in equilibrium. (10s/23/2) 1. . 2. . 2 (b) three co-planar forces act on a body that is in equilibrium. (i) describe how to draw a vector triangle to represent these forces. 3 (ii) state how the triangle confirms that the forces are in equilibrium. 1 (c) a weight of 7.0 n hangs vertically by two strings ab and ac, as shown in fig. 2.1. 北京梓桢国际教育内部教学资料 报班电话登陆公司网站可以免费下载学习资料 各个教室常年免费答疑,自习 教室地址:1 都市网景,2 远洋沁山水,3 潞河名苑 - 42 - for the weight to be in equilibrium, the tension in string ab is 1 t and in string ac it is 2 t. on fig. 2.1, draw a vector triangle to determine the magnitudes of 1 t and 2 t. 1 t = . n 2 t = . n3 (d) by reference to fig. 2.1, suggest why the weight could not be supported with the strings ab and ac both horizontal. . . . 2 2(s23-2) 北京梓桢国际教育内部教学资料 报班电话登陆公司网站可以免费下载学习资料 各个教室常年免费答疑,自习 教室地址:1 都市网景,2 远洋沁山水,3 潞河名苑 - 43 - 北京梓桢国际教育内部教学资料 报班电话登陆公司网站可以免费下载学习资料 各个教室常年免费答疑,自习 教室地址:1 都市网景,2 远洋沁山水,3 潞河名苑 - 44 - 3(w23-1) 北京梓桢国际教育内部教学资料 报班电话登陆公司网站可以免费下载学习资料 各个教室常年免费答疑,自习 教室地址:1 都市网景,2 远洋沁山水,3 潞河名苑 - 45 - (h)show an understanding that, when there is no resultant force and no resultant torque, a system is in equilibrium (i) apply the principle of moments. 4 (a) distinguish between the moment of a force and the torque of a couple. (08w/3) moment of a force torque of a couple 4 (b) one type of weighing machine, known as a steelyard, is illustrated in fig. 3.1 北京梓桢国际教育内部教学资料 报班电话登陆公司网站可以免费下载学习资料 各个教室常年免费答疑,自习 教室地址:1 都市网景,2 远洋沁山水,3 潞河名苑 - 46 - the two sliding weights can be moved independently along the rod. with no load on the hook and the sliding weights at the zero mark on the metal rod, the metal rod is horizontal. the hook is 4.8 cm from the pivot. a sack of flour is suspended from the hook. in order to return the metal rod to the horizontal position, the 12 n sliding weight is moved 84 cm along the rod and the 2.5 n weight is moved 72 cm. (i) calculate the weight of the sack of flour. weight = n 2 (ii) suggest why this steelyard would be imprecise when weighing objects with a weight of about 25 n. 1 5 (a) state what is meant by the centre of gravity of a body. (10w/22/3) 2 (b) a uniform rectangular sheet of card of weight w is suspended from a wooden rod. the card is held to one side, as shown in fig. 3.1. 北京梓桢国际教育内部教学资料 报班电话登陆公司网站可以免费下载学习资料 各个教室常年免费答疑,自习 教室地址:1 都市网景,2 远洋沁山水,3 潞河名苑 - 47 - on fig. 3.1, (i) mark, and label with the letter c, the position of the centre of gravity of the card, 1 (ii) mark with an arrow labelled w the weight of the card. 1 (c) the card in (b) is released. the card swings on the rod and eventually comes to rest. (i) list the two forces, other than its weight and air resistance, that act on the card during the time that it is swinging. state where the forces act. 1. 2. 3 (ii) by reference to the completed diagram of fig. 3.1, state the position in which the card comes to rest. explain why the card comes to rest in this position. 北京梓桢国际教育内部教学资料 报班电话登陆公司网站可以免费下载学习资料 各个教室常年免费答疑,自习 教室地址:1 都市网景,2 远洋沁山水,3 潞河名苑 - 48 - 2 6 (a) define the torque of a couple. (09s/3) 2 (b) a torque wrench is a type of spanner
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