A slender 9 lb rod can rotate in a vertical plane about a pivot at B. A spring of constant k-30 lb/ft and of unstretched length 6 in. is attached to the rod as shown. The rod is released from rest in the position shown. 1) Determine its angular velocity after the rod has rotated through 45.(1 point) 2) Determine the reaction force at pivot point B after the...
It’s review question, I need this as soon as possible. Thank you 3) For thè diferential equation: (a) The point zo =-1 is an ordinary point. Compute the recursion formula for the coefficients of the power series solution centered at zo- -1 and use it to compute the first three nonzero terms of the power series when -1)-s and v(-1)-0. (25 points) (b) Th...
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Sample Problem 6. The 30 kg slender rod is released from rest when θ-00 (when rod OA is in the horizontal position). The spring is unstretched at θ-00. A constant clockwise moment of 10 N-m is applied to the rod. A force, P, of 20 N is applied and is always perpendicular to the rod. Determine the angular velocity of the rod when θ- 750. (Use the work-energy...
Homework Set # 9 Fundamental Problem 18.11 ▼ Part A The 60kg rod is released form rest when θ= 45°. (Figure 1) Determine the angular velocity of the rod when θ-0°. The spring is unstretched when 6-45°. Express your answer to three significant figures and include the appropriate units. Value Units st Answer Submit Provide Feedback Figure 1.5 m k-300 N/m...
Problem 2: The uniform rod of length, L, and mass, m, shown below, is released from rest and from an angle of 8- O (radians]. The rod then begins to rotate clockwise due to the force of gravity mE 12 Note that the moment of inertia of a rod about its center is when the A) Show that the magnitude of the angular velocity of the rod is löll- rod has rotate...
A 12 kg slender rod is placed against the wall at an angle of 45 degrees as shown. If it is released from rest, determine the angular velocity of the rod at the instant just before it hits the ground (angle 0 degrees). Neglect friction. Moment of Inertia lg of rod-2 12 8 Bar AB is l0 k Spring unstrctched Starth from rest Hint: Tou k" A 12 kg sl...
A thin rod, of length L and negligible mass, that can pivot about one end to rotate in a vertical circle. A heavy ball of mass m is attached to the other end. The rod is pulled aside through an angle and released. (a)What is the speed of the ball at the lowest point if L = 2.20 m, = 19.0°, and m = 500 kg? (b) Does the speed increase, decrease, or remain the...
An object of mass M = 4.00 kg is attached to a spring with spring constant k = 1100 N/m whose unstretched length is L = 0.170 m , and whose far end is fixed to a shaft that is rotating with an angular speed of ω = 5.00 radians/s . Neglect gravity and assume that the mass also rotates with an angular speed of 5.00 radians/s. Given the angular speed of ω...
An object of mass M = 4.00 kg is attached to a spring with spring constant k = 1100 N/m whose unstretched length is L = 0.170 m , and whose far end is fixed to a shaft that is rotating with an angular speed of ω = 5.00 radians/s . Neglect gravity and assume that the mass also rotates with an angular speed of 5.00 radians/s. Given the angular speed of ω...
An object of mass M = 2.00 kg is attached to a spring with spring constant k = 550 N/m whose unstretched length is L = 0.200 m , and whose far end is fixed to a shaft that is rotating with an angular speed of ω = 5.00 radians/s . Neglect gravity and assume that the mass also rotates with an angular speed of 5.00 radians/s as shown. (Figure 1)When solvi...
A vertical spring (ignore its mass), whose spring constant is 875 N/m , is attached to a table and is compressed down by 0.160 m. A) What upward speed can it give to a 0.320-kg ball when released? B) How high above its original position (spring compressed) will the ball fly?
A vertical spring (ignore its mass), whose spring constant is 875 N/m , is attached to a table and is compressed down by 0.160 m. A) What upward speed can it give to a 0.320-kg ball when released? I tried 7.88 m/s, but it said "Review your calculations; you may have made a rounding error or used the wrong number of significant figures." What woul...
A vertical spring (ignore its mass), whose spring constant is 875 N/m , is attached to a table and is compressed down by 0.160 m. A) What upward speed can it give to a 0.320-kg ball when released? I tried 7.88 m/s, but it said "Review your calculations; you may have made a rounding error or used the wrong number of significant figures." What...
One end of a light spring with force constant 240 N/m is attached to a vertical wall. A light string is tied to the other end of the horizontal spring. As shown in the following figure, the string changes from horizontal to vertical as it passes over a solid pulley of mass M in the shape of a solid disk of radius R 2.50 cm. The pulley is free to turn on a fi...
Please show ALL work and answer ALL parts In the engine system shown -250 mm and b 100 mm. The connecting rod BD is assumed to be a 1.2-kg uniform slender rod and is attached to the 1.8-kg piston P. The AB rod is rotating counterclockwise at a constant angular velocity of 15 rads/s. Determine all the reactionary forces as a function of θ and plot these f...
Consider a swinging spring of unstretched length Lo and of spring constantk attached to a mass m:Show that the only force in addition to gravity acting on the mass is—k(L — Lo)r. Derive the differential equations governing the motion of themass.
A 0.45 mass is attached to a spring with a force constant of 26 and released from rest a distance of 3.2 from the equilibrium position of the spring. a.What is the maximum speed of the mass? (m/s) b.How far is the mass from the equilibrium position when its speed is half the maximum speed? (cm) Vmax=A sqrt(K/M) = .24m/s thats correct half speed = .12m/...
The 15-kg slender bar OA is released from rest in the vertical position and compresses thespring of stiffness k = 20 kN/m as the horizontal position is passed. Determine the propersetting of the spring, by specifying the distance h, that will result in the bar having an angularvelocity ω = 4 rad/s as it crosses the horizontal position. What is the effect of...
A massless spring has unstretched length Lo = 0.53 m and spring constant k = 122.3 N/m. A block of mass m = 1.74 kg is attached to the spring, and a student stretchesthe spring to a length of L = 1.19 m. Then the student releases the block and it shoots upward. What is the speed of the block when it returns to the position Lo forthe first time?v = m/s