Một người nâng một tấm gỗ đồng chất, tiết diện đều, có khối lượng m (kg). Người ấy tác dụng một lực 𝐹⃗ có độ lớn F 100 N, hướng vuông góc với tấm gỗ vào đầu trên của tấm gỗ để giữ cho nó cân bằng, hợp với mặt đất một góc 0 30 .a. Vẽ các lực tác dụng vào tấm gỗ.b. Tính momen của lực 𝐹⃗ đối với trục quay đi qua O. Khối lượng m của tấm gỗ bằng bao nhiêu?c. Thay lực nâng của tay người bằng lực đàn hồi của một lò xo có độ cứng K 100 N/m, chiều dài tự nhiên ℓ𝑜50 cm, trục của lò xo trùng với giá c...
Đọc tiếp
Một người nâng một tấm gỗ đồng chất, tiết diện đều, có khối lượng m (kg). Người ấy tác dụng một lực 𝐹⃗ có độ lớn F = 100 N, hướng vuông góc với tấm gỗ vào đầu trên của tấm gỗ để giữ cho nó cân bằng, hợp với mặt đất một góc 0 = 30 .
a. Vẽ các lực tác dụng vào tấm gỗ.
b. Tính momen của lực 𝐹⃗ đối với trục quay đi qua O. Khối lượng m của tấm gỗ bằng bao nhiêu?
c. Thay lực nâng của tay người bằng lực đàn hồi của một lò xo có độ cứng K = 100 N/m, chiều dài tự nhiên ℓ𝑜=50 cm, trục của lò xo trùng với giá của lực 𝐹⃗ thì thanh vẫn cân bằng như ban đầu. Tìm chiều dài của lò xo
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)