A uniform 1.4-kg rod that is 0.92 m long is suspended at rest from the ceiling by two springs, one at each end. Both springs hang straight down from the ceiling. The springs have identical lengths when they are unstretched. Their spring constants are 35 N/m and 64 N/m. Find the angle that the rod makes with the horizontal.
A uniform 1.4-kg rod that is 0.92 m long is suspended at rest from the ceiling...
A uniform 1.2-kg rod that is 0.83 m long is suspended at rest from the ceiling by two springs, one at each end. Both springs hang straight down from the ceiling. The springs have identical lengths when they are unstretched. Their spring constants are 32 N/m and 55 N/m. Find the angle that the rod makes with the horizontal.
A uniform 1.2-kg rod that is 0.96 m long is suspended at rest from the ceiling by two springs, one at each end. Both springs hang straight down from the ceiling. The springs have identical lengths when they are unstretched. Their spring constants are 22 N/m and 55 N/m. Find the angle that the rod makes with the horizontal.
A uniform 1.9-kg rod that is 0.68 m long is suspended at rest from the ceiling by two springs, one at each end. Both springs hang straight down from the ceiling. The springs have identical lengths when they are unstretched. Their spring constants are 31 N/m and 62 N/m. Find the angle that the rod makes with the horizontal.
A uniform thin rod of mass m and length 5b is suspended from the ceiling by a single string of length 2b attached to one end (this end of the rod is called P1). Thus in equilibrium the string and rod hang straight down and the lower end of the rod is a distance 7b from the ceiling (this end of the rod is called P2). The motion is constrained to be in a fixed vertical plane, so we have...
An object of mass m = 0.300 kg is suspended from the ceiling of an accelerating truck as in the figure below. Take a = 2.80 m/s2. A truck is accelerating to the right, as indicated by an arrow labeled vector a. A small sphere of mass m is suspended from the ceiling of the truck by a string. The string makes an angle θ with the vertical, and the mass hangs to the left of the vertical. (a) Find...
A 1.4-kg object is suspended from a vertical spring whose spring constant is 131 N/m. (a) Find the amount by which the spring is stretched from its unstrained length. m (b) The object is pulled straight down by an additional distance of 0.16 m and released from rest. Find the speed with which the object passes through its original position on the way up.
A spring with a spring constant 15.0 N/m hangs from the ceiling. A ball is suspended from the spring and allowed to come to rest. It is then pulled down 6.00 cm and released. If the ball makes 30 oscillations in 20.0 s, what is its mass?
A spring with spring constant 14.9 N/m hangs from the ceiling. A ball is suspended from the spring and allowed to come to rest. It is then pulled down 4.00 cm and released. The ball makes 28.0 oscillations in 21.0 seconds. What is the mass of the ball? What is the maximum speed?
A spring with spring constant 12.2 N/m hangs from the ceiling. A ball is suspended from the spring and allowed to come to rest. It is then pulled down 10.0 cm and released. The ball makes 29.0 oscillations in 21.0 seconds. What is the mass of the ball? What is the maximum speed?
1. A ball of mass m = 1.0 kg is suspended from the ceiling by a massless string of length L = 1.5 m. It is pulled to one side and started moving in a horizontal circular path, where it makes one revolution every 2 seconds. a) What is the angle that it makes with the vertical? b) What is the tension in the string? (30 points)