Consider a conical pendulum with a bob of mass m - 73,0 kg on a string of length L 10.0 m that makes an angle of 04.00 with the vertical. (Consider i to be towards the center of the circular path and+J to be upward.) (a) Determine the horizontal and vertical components of the force exerted by the string on the pendulum. NI+ Nj (b) Determine the radial acceleration of the bob. m/s²
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- Three forces are applied to an object, as shown in the figure. Force ->F1 has amagnitude of 24.4 newtons (24.4 N) and is directed 30.0 degrees to the left of the (+) yaxis. Force ->F2 has a magnitude of 15.4 N and points along the (+) x axis. What mustbe the (a) magnitude and (b) direction (specified by the angle (theta) in the drawing) ofthe third force ->F3 such that the vector sum of the three forces is 0 N?In the figure here three ballot boxes are connected by cords, one of which wraps over a pulley having negligible friction on its axle and negligible mass. The masses are mA = 26 kg, mB = 45 kg, and mC = 12 kg. When the assembly is released from rest, (a) what is the tension in the cord connecting B and C, and (b) how far does A move in the first 0.200 s (assuming it does not reach the pulley)?A cart with mass 15.7 kg is intitally at rest. You get it moving by pushing on the cart at an angle of 0 = 37° as shown above. The magnitude of your force as a function of time is given by: Fyc(t) = Foe-bt, where b = 0.55 s-1 and Fo = 138.1 N. You can assume that the wheels roll perfectly on the ground. What is the speed of the cart when t = 3.3 s? Don't Know Where to Start? ... A Hint About N2L A Hint About the Proces ...... ........................ Vf = 10.25m/s
- A block is pushed across a horizontal surface by the force shown. If the coefficient of kinetic friction between the block and the surface is 0.39, F = 45 N, 0 = 19°, and M = 2.5 kg, F M (a) What is the magnitude of the normal force, applied by the contact surface on the block, in (N)? (b) What is the magnitude of the friction force on the block in (N)? (c) What is the magnitude of the acceleration (in m/s²) of the block?F = (-30i + 60j + 60k )kN %3D Forces are concurrent at point O. Determine the magnitude of the resultant of the three vectors. a 71.5 kN b 187 kN F, = (60i – 20j+ 15k )kN c 116 kN d 83.7 kN Determine the angle between F, andF,. F, = (20j – 25k)kN X а 111° b 132° c 69.0° d 21.0° Select the expression that denotes a unit vector in the direction and sense of F,. a 0.625j -0.781k b 0.625i -0.781j c -0.625 j –0.781k d 0.625i +0.781jDetermine the magnitude of the y-component of force Q (N) if P=108.8 N, Q = 72.5 N , θ= 42.25° and α = 43.45°. Round off only on the final answer expressed in 3 decimal places. Instead of units, indicate the direction of the y-component.
- In the figure, a rectangular slab of slate rests on a bedrock surface inclined at angle = 25.6°. The slab has length L = 43.4 m, thickness T = 6.23 m, and width W = 13.6 m, and 1.0 cm³ of it has a mass of 3.2 g. The coefficient of static friction between slab and bedrock is 0.351. (a) Calculate the component of the gravitational force on the slab parallel to the bedrock surface. (b) Calculate the magnitude of the static frictional force on the slab. By comparing (a) and (b), you can see that the slab is in danger of sliding. This is prevented only by chance protrusions of bedrock. (c) To stabilize the slab, bolts are to be driven perpendicular to the bedrock surface (two bolts are shown). If each bolt has a cross-sectional area of 6.42 cm² and will snap under a shearing stress of 3.57 × 108 N/m², what is the minimum number of bolts needed? Assume that the bolts do not affect the normal force.The body on the 30° incline is acted upon by a force P inclined at 20° with the horizontal. If P is resolved into components parallel and perpendicular to the incline and the value of the parallel component is 400 lbs, compute the value of the perpendicular component and that of P. 20° 30°In the figure here three ballot boxes are connected by cords, one of which wraps over a pulley having negligible friction on its axle and negligible mass. The masses are ma = 27 kg, mg = 41 kg, and mc = 15 kg. When the assembly is released from rest, (a) what is the tension in the cord connecting B and C, and (b) how far does A move in the first 0.200 s (assuming it does not reach the pulley)? Assume the table surface frictionless. A В C (a) Number i Unit (b) Number i Unit >
- In the figure here three ballot boxes are connected by cords, one of which wraps over a pulley having negligible friction on its axle and negligible mass. The masses are mà = 34 kg, mß = 42 kg, and mc = 12 kg. When the assembly is released from rest, (a) what is the tension in the cord connecting B and C, and (b) how far does A move in the first 0.200 s (assuming it does not reach the pulley)? A (a) Number (b) Number Unit Unit 11 B CConsider a conical pendulum with a bob of mass m = 58.0 kg on a string of length L = 10.0 m that makes an angle of 8 = 2.00° with the vertical. (Consider +î to be towards the center of the circular path and +j to be upward.) (a) Determine the horizontal and vertical components of the force exerted by the string on the pendulum. NI+ Nj (b) Determine the radial acceleration of the bob. m/s²In the figure, a rectangular slab of slate rests on a bedrock surface inclined at angle 8 = 22.8°. The slab has length L = 48.9 m, thickness T = 6.61 m, and width W = 12.7 m, and 1.0 cm³ of it has a mass of 3.2 g. The coefficient of static friction between slab and bedrock is 0.312. (a) Calculate the component of the gravitational force on the slab parallel to the bedrock surface. (b) Calculate the magnitude of the static frictional force on the slab. By comparing (a) and (b), you can see that the slab is in danger of sliding. This is prevented only by chance protrusions of bedrock. (c) To stabilize the slab, bolts are to be driven perpendicular to the bedrock surface (two bolts are shown). If each bolt has a cross-sectional area of 6.47 cm² and will snap under a shearing stress of 3.59 x 108 N/m², what is the minimum number of bolts needed? Assume that the bolts do not affect the normal force.