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Hanging from the ceiling over a baby bed, well out of baby’s reach, is a string with plastic shapes, as shown here. The string is taut (there is no slack), as shown by the straight segments. Each plastic shape has the same mass
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- A physics lab instructor is working on a new demonstration. She attaches two identical copper balls with mass m = 0.180 g to threads of length L as shown in the figure. There are two strings in the figure. The top of each string is connected to the ceiling, and both strings are connected at the same point. The bottom of each string is connected to a spherical mass labeled m. Both strings have length L and hang at an angle of ? to the vertical, with the two strings on opposite sides of the vertical. Both balls have the same charge of 7.60 nC, and are in static equilibrium when ? = 4.75°. What is L (in m)? Assume the threads are massless. m (b) What If? The charge on both balls is increased until each thread makes an angle of ? = 9.50° with the vertical. If both balls have the same electric charge, what is the charge (in nC) on each ball in this case?arrow_forwardA Physic student has a 0.25 m length of string. She attached one end to the ceiling and the other end to a toy plane. If the toy plane weighs 0.5 kg, find the maximum speed of the plane and the angle that it makes with the vertical if the maximum tension in the string before it snaps is 10 N.arrow_forwardA skate park is formed by two semicircles of radius R1 = 8.3 m and R2 = 1.0 m and a flat central part, as shown in the following figure. The flat part has a length L = 3.6 m. The semicircles are tangent to the horizontal in B and C and to the vertical in A and D. There is no friction in the curved parts and in the flat part the coefficient of kinetic friction is μC = 0.2. A block with mass m = 3.2 kg is dropped from A. Suppose the acceleration due to gravity is 9.8 m / s2. What is the magnitude of the velocity of the block as it passes through point B the second time? Choose one: a. 45,4 m/sb. None of the other alternatives.c. 22,7 m/sd. 11,6 m/se. 12,0 m/sf. 5,7 m/sg. 7,6 m/sh. 129,0 m/sarrow_forward
- The pedals of a bicycle are mounted on a bracket whose centre is 25cm above the ground. Each pedal is 15cm from the bracket. The rider completes 4 cycles every minute. Assuming that you start pedaling with the pedal in the lowest position, write an equation to represent the height of the pedal (cm) as a function of time (s).arrow_forwardYou are working in an ice skating rink and have been asked to hang a new banner on the wall. Your friend is helping you so that the ladder does not collapse by exerting a force F→AL at an angle phi relative to the horizontal. See the diagram below. The ladder has a length L and makes an angle of theta with respect to the vertical wall. You have a mass, m_Y, and are a horizontal distance x from the wall. The ladder has a mass of m_L. Because the wall is slick, and the ice on the floor is slick, the frictional forces acting on the ladder are negligible. Part One: Find a formula for the magnitude of the force that your friend must exert to keep the ladder from falling, in terms of the following variables: x,L,m_Y,m_L,theta,phi. Then use the following values to get a number for the magnitude of F→AL. theta = 29.5 degrees phi = 23.305 degrees x= 2.204 meters L = 7.6 meters m_Y= 82 kg m_L = 34.44kgarrow_forwardYou are working in an ice skating rink and have been asked to hang a new banner on the wall. Your friend is helping you so that the ladder does not collapse by exerting a force F→AL at an angle phi relative to the horizontal. See the diagram below. The ladder has a length L and makes an angle of theta with respect to the vertical wall. You have a mass, m_Y, and are a horizontal distance x from the wall. The ladder has a mass of m_L. Because the wall is slick, and the ice on the floor is slick, the frictional forces acting on the ladder are negligible. Part Three: Find the magnitude of the normal force that the floor exerts on the ladder. F→AL = 307.77N Normal Force wall exterts on ladder = 282.6634N Theta = 29.5 degrees phi = 23.305 degrees x= 2.204 meters L = 7.6 meters m_Y= 82 kg m_L = 34.44kgarrow_forward
- The diagram below shows a particle in equilibrium under the forces shown. Obtain an equation by resolving in the Ox direction, then obtain an equation by solving in the Oy direction, and then use these equation to find the unknown force and angle. y 45° 3 N 1 N P Ꮎ ; x 15√2 Narrow_forwardYou are working in an ice skating rink and have been asked to hang a new banner on the wall. Your friend is helping you so that the ladder does not collapse by exerting a force FAL at an angle ϕ relative to the horizontal. See the diagram below.The ladder has a length L and makes an angle of θ with respect to the vertical wall. You have a mass, mY, and are a horizontal distance x from the wall. The ladder has a mass of mL. Because the wall is slick, and the ice on the floor is slick, the frictional forces acting on the ladder are negligible. Find a formula for the magnitude of the force that your friend must exert to keep the ladder from falling, in terms of the following variables: x,L,mY,mL,θ,ϕ. Then use the following values to get a number for the magnitude of FAL θ = 34.4 degreesϕ = 26.144 degreesx = 1.612 metersL = 6.2 metersmY = 98.0 kgmL = 32.34 kgarrow_forwardA pulley system is shown below. There is a single continuous rope that is 5 m long running from A, to B, to C, and then to D. At D, there is a block with a mass of 14 kg. Ignore the dimension of the pulley. Given a = 2.6 m and b = 0.733 m, b AQ L B C D a find the mass of the block at B for the system to be in equilibrium. Answer to three decimal places. mass B kgarrow_forward
- You are working in an ice skating rink and have been asked to hang a new banner on the wall. Your friend is helping you so that the ladder does not collapse by exerting a force FAL at an angle ϕ relative to the horizontal. The ladder has a length L and makes an angle of θ with respect to the vertical wall. You have a mass, mY, and are a horizontal distance x from the wall. The ladder has a mass of mL. Because the wall is slick, and the ice on the floor is slick, the frictional forces acting on the ladder are negligible. Find a formula for the magnitude of the force that your friend must exert to keep the ladder from falling, in terms of the following variables: x,L,mY,mL,θ,ϕ. Then use the following values to get a number for the magnitude of FAL θ = 34.4 degreesϕ = 26.144 degreesx = 1.612 metersL = 6.2 metersmY = 98.0 kgmL = 32.34 kgarrow_forwardChapter 12, Problem 031 In the figure, a nonuniform bar is suspended at rest in a horizontal position by two massless cords as shown in the figure here. One cord makes the angle 0 40.8 with the vertical; the other makes the angle p 49.2° with the vertical. If the length L of the bar is 2.0 m, compute the distance x from the left end of the bar to its center of mass com Use correct number of significant digits; the tolerance is +/-2%arrow_forwardWhat are the reaction forces of a pendulum at the pivot point at angles 0, 45, and 90 from the horizontal. Â The pendulum consists of a rod (length=4m and mass= 11kg) connected to the center of a disk (non rotating, radius=0.5m and mass= 4kg). Ã No frictionÂarrow_forward
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