A clock pendulum oscillates at a frequency of 2.5 Hz . At t=0, it is released from rest starting at an angle of 14 ∘∘ to the vertical. Ignoring friction, what will be the position (angle in radians) of the pendulum at t_2 = 2.00 s ? Ignoring friction, what will be the position (angle in radians) of the pendulum at t_3 = 540 s

Note: Make sure your calculator is in radian mode for this problem, and that you switch it back after this problem. There are two particles (1 and 2) that are moving around in space. The force that particle 2 exerts on 1 is given by: F→21(t)=Fxe−(t/T)ı^+Fysin⁡(2πt/T)ȷ^ Where the parameters have the values: Fx=14.2 N, Fy=89 N, T=55 s.We will consider a time interval that begins at ti=0 s and ends at tf=96 s. Find the x component of the impulse from 2 on 1 between ti and tf.

Problem 1: A meter stick has mass m = .2 kg (distributed uniformly along its length) and a length of (of course) 1 meter. The stick is placed simultaneously on two weight scales: one at the 20 cm mark (with 0 cm at the far left end of the stick), the other at the 70 cm mark, with no other supports or weights. Remember that a weight scale supplies an upward force, equal to the reading on the scale. Calculate the reading on both scales. Call the reading on the left scale (at 20 cm) FL, and the reading on the right scale (at 70 cm) FR. 20 cm 70 cm

The frame is made from uniform rod which has a mass p per unit length. A smooth recessed slot constrains the small rollers at A and B to travel horizontally. Force P is applied to the frame through a cable attached to an adjustable collar C. Determine the magnitudes and directions of the normal forces which act on the rollers if (a) h = 0.24L, (b) h = 0.50L, and (c) h = 0.91L. The forces will be positive if up, negative if down. Evaluate your results for p = 1.8 kg /m, L = 575 mm, and P = 48 N. What is the acceleration of the frame in each case? (a) Answers: (b) L (c) A h = 0.24L: h = 0.50L: h = 0.91L: L A = A A = B i i i P B N₁ B N, B N, i i N₁ª N,9 N₁9 i i m/s m/s m/s