A pendulum bob has a speed 3 m/s while passing through its lowest position, what is its speed when it makes an angle of 60o with the vertical? The length of the pendulum is 0.5m. Take g = 10 m/s2
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Practice 1: A pendulum bob has a speed 3 m/s while passing through its lowest
position, what is its speed when it makes an angle of 60o with the vertical? The length of the
pendulum is 0.5m. Take g = 10 m/s2
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Solved in 2 steps
- QUESTION 2 OK, once again we have a pendulum, this time of length 1.14 m, which you release from rest at an angle of 55.7 degrees to the vertical. What will be the speed of the pendulum at the instant it reaches an angle of 22.3 degrees above the vertical? A 3.12 m/s B 1.29 m/s C 3.74 m/s D 2.84 m/sA 7.0g bullet is fired with an initial velocity of 528 m/s into a 1.5 kg ballistic pendulum of length 0.4m. The bullet emerges from the block with a speed of 200m/s, and the pendulum swings upward. A. What is the maximum height of the pendulum? B. Find the angle, the pendulum makes with the vertical at the highest point?This time the pendulum is 1.04 m long. Suppose you start with the pendulum hanging vertically, at rest. You then give it a push so that it starts swinging with a speed of 1.29 m/s. What maximum angle (in degrees) will it reach, with respect to the vertical, before falling back down?
- 1. A simple pendulum is suspended from the ceiling by means of a string of length 1.14 m. Assume that there is no friction or air resistance. Suppose you were to release the pendulum from rest, starting from an angle of 58.2 degrees with respect to the vertical, as shown. What will be the speed of the pendulum at the instant it swings through its lowest point (that is, when it s momentarily hanging vertically)? 2.28 m/s 3.25 m/s 3.43 m/s 4.73 m/sAt full swing, a pendulum 8m long, subtends an angle of 34 degrees. How high does the bob of the pendulum rise above its rest position? Use below correct choices as answer and show solution; a.) 55 m b) 45 m c) 35 m d) 25 mAt what speed in m/s will the block strike the spring? g = 9.8m/s
- Treating the wing as an ideal spring, find the energy stored in the wing when it is deflected. Express your answer using two significant figures in JA 0.13 kg mass is connected to a spring of stiffness 366 N/m. The mass is pulled back 0.26 m from equilibrium and released from rest. (Hint: Which trig function will result in an x(t) that begins at rest?) Calculate the kinetic energy of the mass 3 s into the motion, in J. Your calculator should be in radians mode for this question. (Please answer to the fourth decimal place - i.e 14.3225)Find the equivalent spring constant spring constant of the system. Say, k1 = 20 N/m, k2 = 35 N/m
- Give the expression for the frequency ?f of a simple pendulum of length ?L in the gravitational field strength ?g. Use the following notation (without the quotes): "/" for division, "*" for multiplication, "+" an "-" as usual. For powers used "^2", while for square root use "sqrt". To indicate that square root applies to the whole expression use brackets - for example, for ??‾‾‾‾√AB use sqrt(A*B). For Greek letters such as ?π, ?α etc. use pi, alpha. For example to get 1??2???‾‾‾‾√1πA2BAB use 1/pi*A^2/B*sqrt(AB). Please use the exact variables given in the conditions of the problem: e.g if ?L is given, then do not use ?l.(Kindly show solutions, tips shown below) Which of the following gives the nearest value for the maximum deflection of the spring, in mm? a. 67.5 b. 72.5 c. 70 d. 75C7 12.) How high will the pendulum bob swing in this figure? a.) to the height of the pencil eraser. b.) to the maximum height of the bob without the pencil, as shown by the left-most position in the figure c.) roughly half the original heightto d.) the height of the pencil's point.