Consider a conical pendulum with a bob of mass m = 55.0 kg on a string of length L = 10.0 m that makes an angle of 0 = 4.00° with the vertical. (Consider +î to be towards the center of the circular path and +ĵ to be upward.) m 61 (a) Determine the horizontal and vertical components of the force exerted by the string on the pendulum. NÎ + NĴ (b) Determine the radial acceleration of the bob. m/s²

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

Computation. Three objects are connected as in the figure with mд-7 kg, mB=6.43 kg, and mc-11.4 kg. The strings and frictionless pulleys have negligible masses, and the coefficients of friction between the block and the table are s-0.67 and u-0.151. If the system is released from rest, find the magnitude of its acceleration. [Hint: As part of your solution, check to see if block B experiences static or kinetic friction.] MA a = JACOPERTE mc E OL MB _m/s² Record your numerical answer below, assuming three significant figures. Ca O @ ✰ ✰ 0 A D 10:14 PM 10/19/2022 *** 2

A child is flying a large kite of mass 3.7 kg on a windy day. At the moment shown the tension from the string on the kite has a magnitude of 11 N and makes an angle of θ = 33.9∘ from the vertical, and the acceleration of the kite has a magnitude of ak = 7 m/s^2 and makes an angle of ϕ = 38.9∘ from the vertical as shown in the figure below. The only forces felt by the kite are its own weight, the tension from the string, and a force from the wind. Find the Magnitude of the horizontal component of Fwk. Find the Magnitude of the vertical componenet of Fwk. I have attached my work to show how I got my answers. When I entered them, they were wrong. What am I doing wrong and can you please show me how to do the problem correctly?

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.

Two blocks of mass m1 = 3.0kg and m2 = 2.5kg are attached with a rope. The rope goes around several ideal pulleys.  Two of the pulleys are attached directly to the ceiling (grey shaded region at the top) and will not move up or down. The lower pulley will move with block 1.  Block 1 is free hanging and will move vertically.  Block 2 rests on an inclined ramp at angle θ = 30°. The ramp is frictionless.  Block 1 is observed to accelerate upwards.  The experiment is done on earth, g = 9.8 m/s2  What is the tension in the long rope?  by using variables only

In the figure, a 499 kg construction bucket is suspended by a cable A that is attached at O to two other cables B and C, making angles 0₁ = 51.0° and 9₂ = 54.0° with the horizontal. Find the tensions in (a) cable A, (b) cable B, and (c) cable C. (Hint: To avoid solving two equations in two unknowns, position the axes as shown in the figure.) B C 0₂

The figure shows a container of mass m₁ = 1.7 kg connected to a block of mass m₂ by a cord looped around a frictionless pulley. The cord and pulley have negligible mass. When the container is released from rest, it accelerates at 1.0 m/s² across the horizontal frictionless surface. What are (a) the tension in the cord and (b) mass m₂? (a) Number (b) Number i Units Units m₁ mq >

a 1.34 kg ball is connected by means of two massless strings, each of length L = 1.70 m, to a vertical, rotating rod. The strings are tied to the rod with separation d = 1.70 m and are taut. The tension in the upper string is 35 N. What are the (a) tension in the lower string, (b) magnitude of the net force  on the ball, and (c) speed of the ball? (d) What is the direction of the net force?

Consider 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/s²